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Publication numberUS7173657 B2
Publication typeGrant
Application numberUS 09/814,634
Publication dateFeb 6, 2007
Filing dateMar 22, 2001
Priority dateMar 24, 2000
Fee statusPaid
Also published asEP1287685A1, US20020018128, WO2001074058A1
Publication number09814634, 814634, US 7173657 B2, US 7173657B2, US-B2-7173657, US7173657 B2, US7173657B2
InventorsNaoya Katoh, Noboru Ohta, Shuxue Quan, Mitchell Rosen
Original AssigneeRochester Institute Of Technology, Sony Corporation
Export CitationBiBTeX, EndNote, RefMan
External Links: USPTO, USPTO Assignment, Espacenet
System and method for analyzing, optimizing and/or designing spectral sensitivity curves for an imaging device
US 7173657 B2
Abstract
A method and system for analyzing a color rendering capability of at least one color imaging device with multiple color channels obtaining includes obtaining spectral sensitivity curves for two or more of the multiple color channels in the color imaging device and determining an image quality value for the color imaging device from the spectral sensitivity curves for the two or more of the multiple color channels in the color imaging device.
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Claims(20)
1. A method for determining a color rendering capability of at least one color imaging device with multiple color channels, the method comprising:
obtaining spectral sensitivity curves for two or more of the multiple color channels in the color imaging device;
determining a Universal Measure of Goodness factor based on the obtained spectral sensitivity curves;
determining an image quality value
based on the determined Universal Measure of Goodness factor and at least one other quality factor.
2. The method as set forth in claim 1 wherein determining an image quality value further comprises determining a μ-factor based on the obtained spectral sensitivity curves, wherein the determining an image quality value is based on the μ-factor and at least one other quality factor.
3. The method as set forth in claim 1 wherein the at least one other quality factor is a delta E factor.
4. The method as set forth in claim 1 wherein the image quality value is a color quality and noise sensitivity metric value.
5. The method as set forth in claim 1 further comprising evaluating the color rendering capability of the color imaging device based on the determined image quality value.
6. The method as set forth in claim 5 wherein the evaluating further comprises comparing the image quality value of the color imaging device against an image quality standard.
7. A method for determining a color rendering capability of at least one color imaging device with multiple color channels, the method comprising:
obtaining spectral sensitivity curves for two or more of the multiple color channels in the color imaging device;
determining a μ-factor based on the obtained spectral sensitivity curves; and
determining an image quality value for the color imaging device
based on the determined μ-factor and at least one other quality factor;
wherein determining the image quality value is based on a relationship between the determined μ-factor and the at least one other quality factor, the image quality value being a substantial average of a minimum and a maximum value for the at least one other quality factor associated with the determined μ-factor.
8. A method for determining a color rendering capability of at least one color imaging device with multiple color channels, the method comprising:
obtaining spectral sensitivity curves for two or more of the multiple color channels in the color imaging device;
determining a μ-factor based on the obtained spectral sensitivity curves; and
determining an image quality value for the color imaging device
based on the determined μ-factor and at least one other quality factor;
wherein the at least one other quality factor is a delta E factor.
9. A method for determining a color rendering capability of at least one color imaging device with multiple color channels, the method comprising:
obtaining spectral sensitivity curves for two or more of the multiple color channels in the color imaging device;
determining a μ-factor based on the obtained spectral sensitivity curves; and
determining an image quality value for the color imaging device
based on the determined μ-factor and at least one other quality factor;
wherein the image quality value is a color difference metric value.
10. A method for determining a color rendering capability of at least one color imaging device with multiple color channels, the method comprising:
obtaining spectral sensitivity curves for two or more of the multiple color channels in the color imaging device;
determining an image quality value for the color imaging device from the spectral sensitivity curves for the two or more of the multiple color channels in the color imaging device; and
evaluating the color rendering capability of the color imaging device based on the determined image quality value;
wherein the evaluating further comprises comparing the image quality value of the color imaging device against respective image Quality values for two or more other color imaging devices.
11. An imaging device analyzing system, the system comprising:
a source for spectral sensitivity curves for two or more of the multiple color channels in a color imaging device; and
an image quality processing system that determines an image quality value for the color imaging device from the spectral sensitivity curves for the two or more of the multiple color channels in the color imaging device;
wherein the image quality processing system further comprises a μ-factor processing system that determines a μ-factor based on the obtained spectral sensitivity curves, wherein the image quality value is based on the μ-factor and at least one other quality factor;
wherein the image quality processing system determines the image quality value based on a relationship between the determined μ-factor and the at least one other quality factor, the image quality value being a substantial average of a minimum and a maximum value for the at least one quality factor associated with the determined μ-factor.
12. An imaging device analyzing system, the system comprising:
a source for spectral sensitivity curves for two or more of the multiple color channels in a color imaging device; and
an image quality processing system that determines an image quality value for the color imaging device from the spectral sensitivity curves for the two or more of the multiple color channels in the color imaging device;
wherein the image quality processing system further comprises a μ-factor processing system that determines a μ-factor based on the obtained spectral sensitivity curves, wherein the image quality value is based on the μ-factor and at least one other quality factor;
wherein the at least one other quality factor is a delta E factor.
13. An imaging device analyzing system, the system comprising:
a source for spectral sensitivity curves for two or more of the multiple color channels in a color imaging device; and
an image quality processing system that determines an image quality value for the color imaging device from the spectral sensitivity curves for the two or more of the multiple color channels in the color imaging device;
wherein the image quality processing system further comprises a μ-factor processing system that determines a μ-factor based on the obtained spectral sensitivity curves, wherein the image quality value is based on the μ-factor and at least one other quality factor;
wherein the image quality value is a color difference metric value.
14. An imaging device analyzing system, the system comprising:
a source for spectral sensitivity curves for two or more of the multiple color channels in a color imaging device;
an image quality processing system that determines an image quality value for the color imaging device from the spectral sensitivity curves for the two or more of the multiple color channels in the color imaging device; and
an evaluation system that evaluates the color rendering capability of the color imaging device based on the determined image quality value;
wherein the evaluation system further comprises comparing the image quality value of the color imaging device against respective image quality values for two or more other color imaging devices.
15. An imaging device analyzing system, the system comprising:
a source for spectral sensitivity curves for two or more of the multiple color channels in a color imaging device; and
an image quality processing system that determines an image quality value for the color imaging device from the spectral sensitivity curves for the two or more of the multiple color channels in the color imaging device;
wherein the image quality processing system determines a Universal Measure of Goodness factor based on the obtained spectral sensitivity curves, wherein the image quality value is based on the Universal Measure of Goodness factor and at least one other quality factor.
16. The system as set forth in claim 15 wherein the image quality processing system further comprises a μ-factor processing system that determines a μ-factor based on the obtained spectral sensitivity curves, wherein the image quality value is based on the μ-factor and at least one other quality factor.
17. The system as set forth in claim 15 wherein the at least one other quality factor is a delta E factor.
18. The system as set forth in claim 15 wherein the image quality value is a color quality and noise sensitivity metric value.
19. The system as set forth in claim 15 further comprising an evaluation system that evaluates the color rendering capability of the color imaging device based on the determined image quality value.
20. The system as set forth in claim 19 wherein the evaluation system further comprises a comparison system that compares the image quality value of the color imaging device against an image quality standard.
Description

This application claims the benefit of U.S. Provisional Patent Application Ser. No. 60/191,800 filed on Mar. 24, 2000 which is herein incorporated by reference.

FIELD OF THE INVENTION

The invention relates generally to imaging and, more particularly, to a method and system for evaluating, optimizing and/or designing one or more spectral sensitivity curves for an imaging device.

BACKGROUND OF THE INVENTION

The practice of capturing color images with digital imaging devices or systems, such as a digital camera or color scanner, is widely spreading. Currently, these digital devices comprise a charge-coupled device or complementary metaloxide-semiconductor (CCD/CMOS) sensor array with a set of filters before it. Ideally, these digital imaging devices capture color images in a substantially accurate and aesthetically pleasing manner.

There are many criteria which are utilized in the design and production of color imaging devices. An important consideration is the ability of the device to deliver color signals which can be used to create high quality color reproductions. To quantify the color quality capability of such devices, it is important to determine how the device's response to color stimuli corresponds to that of a human. Through psychophysical experiments, the Commission Internationale de l'Eclairage (CIE) has generated a standard set of color matching functions for the standard observer, representing the average human visual response to color. As the human eye has three types of cones, each with a different spectral sensitivity signature, there are three standard function specified by the CIE. Accordingly, most color imaging devices are set up with three channels and the spectral sensitivities in these imaging devices are initially designed to attempt to mimic the human visual system.

The spectral sensitivity functions for color imaging device channels should satisfy the Luther condition, that is the channel spectral sensitivities need not be exact duplicates of the CIE color-matching functions described above, but need to be a nonsingular transformation of them. In practice, it is not always possible to manufacture filters for imaging devices that satisfy the Luther condition, often due to the physical limitations of fabricating process. Measurement noise also plays an important role and will degrade the color accuracy even when spectral sensitivity curves fulfill the Luther condition.

Accordingly, a measure of goodness or quality factor for evaluating, optimizing, and/or designing spectral sensitivity curves for color imaging devices is desirable. Unfortunately, developing methods and/or systems for obtaining a measure of goodness or a quality factor has been challenging.

One quality factor, known as the Q-factor, for evaluating and designing spectral sensitivity functions is disclosed in H. E. J. Neugebauer, “Quality factor for filters whose spectral transmittances are different from color mixture curves, and its application to color photography,” J. Opt. Soc. Am. Vol. 46, No. 10, pg. 821–824 (1956), which is herein incorporated by reference. A major disadvantage of the Q-factor is that it is designed to evaluate only single spectral sensitivities. Thus, it is easily possible to design an imaging device where all channels associate with high Q-factors, and still the system delivers color signals which cannot be used in creating high quality color reproductions. The trivial example of such a system is a three-channel device where all three channels are made with small deviations from the same spectral sensitivity signature. Although all three show high Q-factor, the result is a nearly monochrome image.

Another quality factor, known as the μ-factor, for evaluating and designing spectral sensitivity functions is disclosed in P. L. Vora and H. J. Trussell, “Measure of goodness of a set of color-scanning filters”, J. Opt. Soc. Am. A, Vol. 10, No. 7, pg. 1499–1503 (1993), which is herein incorporated by reference. The μ-factor is a quality factor which evaluates an arbitrary number of device channel sensitivity functions as an ensemble. More specifically, the μ-factor describes the difference between the orthonormal subspaces of the CIE color matching functions and the spectral sensitivity space. Generally, a μ-factor approximately equal to one is an indication of an imaging device expected to deliver high quality color reproduction. Unfortunately, some color imaging devices with a poor μ-factor can still generate a good image reproduction. Vora and Trussell have thus introduced a metric which does not have a straight forward correlation with expected image quality. Another problem with the μ-factor is that it does not penalize systems that by virtue of channel sensitivity choices tend to amplify system noise. Such noise is unavoidable in real systems and a system designer needs to carefully control it so as to avoid swamping the eventual color reproduction.

CIELAB color space is a non-linear transfromation of the CIE color matching functions used as an approximation to a perceptually uniform color space. A figure of merit for color scanners, based on locally-linearized CIELAB space, having an incorporated model for measurement of noise is present in G. Sharma et al. “Figure of merit for color scanners,” IEEE Trans. Image Processing, Vol. 6, No. 7, pg. 990–1001 (1997) which is herein incorporated by reference. The new figure has a high degree of perceptual relevance and also accounts for noise performance of sets of channel sensitivities. The noise aspect of Sharma's metric is, however completely independent of the input stimulus and thus is limited in its usefulness.

SUMMARY OF THE INVENTION

A method for determining a color rendering capability of at least one color imaging device with multiple color channels in accordance with one embodiment of the present invention includes a few steps. Spectral sensitivity curves for two or more of the multiple color channels in the color imaging device are obtained. An image quality value for the color imaging device is determined from the spectral sensitivity curves for the two or more of the multiple color channels in the color imaging device. The color rendering capability of the color imaging device can be evaluated based on the determined image quality value.

A method for designing a spectral sensitivity curve for one or more color channels of a color imaging device in accordance with another embodiment of the present invention includes selecting an image quality value and then determining a spectral sensitivity curve for at least one of the color channels of the color imaging device so that the spectral sensitivity curves for each of the color channels in the color imaging device results in the image quality value.

A method for determining the tolerances for one or more color channels in a color imaging device in accordance with another embodiment of the present invention includes a few steps. A spectral sensitivity curve for at least one of the multiple color channels in the color imaging device and an image quality value are obtained. Next, a first pair of upper and lower peak wavelength tolerances from the obtained spectral sensitivity for the at least one of the multiple color channels and the obtained image quality value. Additionally, a second pair of upper and lower tolerances on the width from the obtained spectral sensitivity curve for at least one of the multiple color channels and the obtained image quality value are determined.

An imaging device analyzing system in accordance with another embodiment of the present invention includes a source for spectral sensitivity curves for two or more of the multiple color channels in a color imaging device, an image quality processing system, and an evaluation system. The image quality processing system determines an image quality value for the color imaging device from the spectral sensitivity curves for the two or more of the multiple color channels in the color imaging device.

An imaging device designing system in accordance with another embodiment of the present invention includes a selection system and a design processing system. The selection system obtains an image quality value. The design processing system determines a spectral sensitivity curve for at least one of the color channels of the color imaging device so that the spectral sensitivity curves for each of the color channels in the color imaging device results in the image quality value.

A system for determining the tolerances for one or more color channels in a color imaging device in accordance with another embodiment of the present invention includes a source and a design processing system. The source provides a spectral sensitivity curve for at least one of the multiple color channels in the color imaging device. The design processing system determines a first pair of upper and lower tolerances for the obtained spectral sensitivity for the at least one of the multiple color channels and determines a second pair of upper and lower tolerances on the full width half maximum for the obtained spectral sensitivity curve for at least one of the multiple color channels.

With the present invention, an objective evaluation of the quality of color images captured by the evaluated imaging device is now provided using an analysis of the spectral sensitivity curves of channels in the imaging device. The resulting evaluation also provides information on how much room for improvement there is for the evaluated imaging device. The image quality of different imaging devices can now be compared.

Additionally, with the present invention spectral sensitivity curves for an imaging device can be designed or optimized. As a result, an imaging device with a desired level of image quality can be produced. Additionally, with the present invention determinations of image quality versus the cost of obtaining that level of image quality can be made.

Further, with the present invention tolerances for spectral sensitivity curves for an imaging device can be determined. These determined tolerances provide an evaluation of the tolerance range of the imaging device. Additionally, these determined tolerances can be used to select other sets of spectral sensitivity curves that might also be used with the same resulting image quality.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a block diagram of a system for evaluating, optimizing and/or designing one or more spectral sensitivity curves for an imaging device in accordance with one embodiment of the present invention;

FIG. 2 is a block diagram of a color channel in an imaging device;

FIG. 3A is a flow chart of a method for determining a color rendering capability of at least one color imaging device with multiple color channels in accordance with one embodiment of the present invention;

FIG. 3B is a flow chart of a method for determining a color rendering capability of at least one color imaging device with multiple color channels in accordance with another embodiment of the present invention;

FIG. 4A is a flow chart of a method for designing a spectral sensitivity curve for one or more color channels of a color imaging device in accordance with another embodiment of the present invention;

FIG. 4B is a flow chart of a method for designing a spectral sensitivity curve for one or more color channels of a color imaging device in accordance with yet another embodiment of the present invention; and

FIG. 5 is a flow chart of a method for determining the tolerances for one or more color channels in a color imaging device in accordance with another embodiment of the present invention.

DETAILED DESCRIPTION

A system 10 and method for evaluating, optimizing and/or designing one or more spectral sensitivity curves for an imaging device in accordance with one embodiment of the present invention is illustrated in FIGS. 1, 3A, 3B, 4A, 4B, and 5. The method in accordance with one embodiment includes determining an image quality value for the color imaging device from spectral sensitivity curves for two or more of the multiple color channels in the color imaging device and then evaluating the color rendering capability of the color imaging device based on the determined image quality value. Among other features, the present invention can provide an objective evaluation of an imaging device, one or more spectral sensitivity curve or curves for an optimized set of spectral sensitivity curves for an imaging device.

Referring to FIG. 1, in this particular embodiment the system 10 includes a spectral sensitivity (“SS”) processing system 12 and an optional CCD camera 14, although system 10 may have other components, other numbers of the components, and other combinations of the components. The SS processing system 12 is operatively coupled to the camera 14. A variety of communication systems and/or methods can be used to operatively couple and communicate between the SS processing system 12 and the camera 14, including a direct connection, a local area network, a wide area network, the world wide web, modems and phone lines, or wireless communication technology each having communications protocols. Although one of configuration for the system 10 is shown, other configurations are possible and envisioned.

SS processing system 12 includes at least one processor 16, at least one memory 18, at least one input/output interface 20, and a user input device 23 which are coupled together by a bus system 22 or other link, although the SS processing system 12 may comprise other components, other numbers of the components, and other combinations of the components. The processor 16 executes a program of stored instructions for at least a portion of the method for evaluating, optimizing and/or designing one or more spectral sensitivity curves for an imaging device in accordance with one embodiment of the present invention as described herein and set forth in FIGS. 3–5. A variety of different types of memory storage devices, such as a random access memory (RAM) or a read only memory (ROM) in the system or a floppy disk, hard disk, CD ROM, or other computer readable medium which is read from and/or written to by a magnetic, optical, or other reading and/or writing system that is coupled to the processor 16, can be used to store the programmed instructions described herein as well as other information. Although in his particular embodiment, the method in accordance with one embodiment of the invention is stored as programmed instructions in the SS processing system 12 for executing by the processor 16, some or all of the programmed instructions could be stored and executed elsewhere. The input/output interface 20 is used to operatively couple and communicate between the SS processing system 12 and the camera 14. The user input device 23 enables an operator to generate and transmit signals or commands to the processor 16, such as an image quality value, a set of tolerances for spectral sensitivity curves, or one or more selected spectral sensitivity curves for analysis. A variety of different types of user input devices can be used, such as a keyboard or computer mouse.

Referring to FIG. 2, a block diagram of a color channel in an imaging device, such as camera 14, is illustrated. In this particular embodiment, the color channel in the imaging device includes a filter 24, a detector 26, and an analog-to-digital converter 28, although the color channel in the imaging device can comprise other components and other combinations of components. Each component of an imaging device color channel has a certain response to its expected input. The color filter 24 has a spectral transmission wherein photons at different wavelengths from scene radiation hv have different probabilities of being passed through to the detector 26. Such transmission properties can be precisely determined. Likewise, the detector 26 has a spectral sensitivity wherein for any photon from scene radiation hv′ which passes through filter 24 is incident upon the detector 26. Based upon its wavelength, there is a precisely determinable probability that that photon will cause a change in voltage response in the detector 26. The measured voltage in detector 26 is passed to analog-to-digital converter 28 which converts the analog voltage to a digital value. The spectral sensitivity of the imaging device 14 color channel is derived from the series combination of the filter transmission and the detector spectral sensitivity.

Referring to FIG. 3A, a flow chart for analyzing a color rendering capability of at least one color imaging device with multiple color channels in accordance with one embodiment of the present invention is illustrated. In step 50, this method starts.

Next, in step 52 spectral sensitivity curves or functions for two or more of the multiple color channels in the color imaging device are obtained. Spectral sensitivity of a color imaging device or system is defined as the product of the spectral sensitivity of the imaging detector and the transmittance of the filter. A useful simplified model assumes the spectral sensitivity to be a smooth single-peaked curve in visible range with nonnegative values, although real channel spectral sensitivities may be more complex. In this particular embodiment, the spectral sensitivity curves are retrieved from memory 18 from a prior measurement of an imaging device, although the spectral sensitivity curves can be obtained in a variety of other manners, such as, from another memory storage device, by generating the spectral sensitivity curves hypothetically or by operator input via user input device 23.

By way of example only, the spectral sensitivity curves can be generated hypothetically by SS processing system 12. More specifically, the spectral sensitivities for the simplified model can be simulated by a combination of smooth cubic spline functions. The cubic spline function for instance with peak position at λ=λ0 is written as:

C ( λ ) = { w 3 + 3 w 2 ( w - λ - λ 0 ) + 3 w ( w - λ - λ 0 ) 2 - 3 ( w - λ - λ 0 ) 3 6 w 3 λ - λ 0 w ( 2 w - λ - λ 0 ) 3 6 w 3 w λ - λ 0 2 w 0 λ - λ 0 2 w
where 2w is the width of the cubic spline function at one-fourth peak height (the corresponding width at half peak height is approximately √{square root over (2)}w).

If we wish to describe a more complicated potential spectral sensitivity curve, one which may be non-symmetrical about its peak wavelength, then we can consider w1 and w2 which represent the left half and right half widths, respectively. Now our cubic spline function becomes

C ( λ ) = { w 3 + 3 w 2 ( w - λ - P λ ) + 3 w ( w - λ - P λ ) 2 - 3 ( w - λ - P λ ) 3 6 w 3 0 λ - P λ w 2 w 3 + 3 w 2 ( w - λ - P λ ) + 3 w ( w - λ - P λ ) 2 - 3 ( w - λ - P λ ) 3 6 w 3 - w 1 λ - P λ 0 ( 2 w - λ - P λ ) 3 6 w 3 w 2 λ - P λ 2 w 2 ( 2 w - λ - P λ ) 3 6 w 3 - 2 w 1 λ - P λ - w 1 0 otherwise

For convenience we introduce w which is related to w1 and w2 in the following ways:

w 2 - w 1 = 2 Δ w so w 1 = w - Δ w , w 2 = w + Δ w . and Δ w = w 2 - w 1 2

Next, in step 54 the obtained spectral sensitivity curves from step 52 are used by the SS processing system 12 to determine a μ-factor. In this particular embodiment, the μ-factor is calculated by summing the q-factors of the orthonormalized vectors of the obtained spectral sensitivity curves and dividing the summation by three, although other manners for determining a μ-factor can be used. Since the process of determining a μ-factor and q-factors are known, they will not be described in detail here.

Next, in step 58 a color difference metric value, in this case a delta E (“ΔE”) value, for the color imaging device is determined in SS processing system 12 from the μ-factor, although other combinations of the μ-factor and/or other quality factors could also be used to determine the color difference metric value. In this particular embodiment, a relationship between μ-factor and ΔE stored in memory 18 is used by processor 16 to determine the color difference metric value. One example of such a derived relationship between μ-factor and ΔE is set forth below:

derived relationship between μ-factor and ΔE
μ-factor Min Expected ΔE Max Expected ΔE
0.9  2.2 4.8
0.91 2.0 4.7
0.92 1.9 4.4
0.93 1.8 4.0
0.94 1.8 3.8
0.95 1.6 3.5
0.96 1.5 3.2
0.97 1.3 3  
0.98 1.2 2.5
0.99 1.1 2  

Based on this relationship, the color difference metric value in this particular embodiment is obtained by averaging the minimum and maximum expected ΔE value expected for the determined μ-factor. For example, a μ-factor of 0.98 would result in color difference metric value of 1.85.

Next, in step 60 the color rendering capability of the color imaging device is evaluated based on the determined image quality value. In this particular embodiment, image quality value is compared against a standard to provide an evaluation, e.g. a standard might state that an image quality value of zero is ideal, an image quality value of 0 to 2.0 is acceptable, and an image quality value above 2.0 is unacceptable, although other types of evaluations could be used. By way of example only, the image quality values of two different imaging devices could also be compared against each other to identify the imaging device which would produce color images with better quality.

Although in this particular embodiment a color difference metric value is determined, other types of image quality values could also be determined, such as a color quality and noise sensitivity metric value. An image quality value is a number which correlates how well an image fits associated quality criteria from the view point of a typical human observer. A color quality metric value is an image quality value based on the criteria of how well the channel sensitivities of a device correlate with the human visual system. A color difference metric value is an image quality value which correlates with the magnitude of change in color a typical human observer would detect between two images. A color quality and noise sensitivity metric value an image quality value based on color criteria and an image quality value based on quantifying how the amplification of noise in a system affects perceived quality to a human observer.

Referring to FIG. 3B, a flow chart for evaluating a color rendering capability of at least one color imaging device with multiple color channels in accordance with one embodiment of the present invention is illustrated. In step 62, this method starts.

Next, in step 64 spectral sensitivity curves or functions for two or more of the multiple color channels in the color imaging device are obtained. Since the process in step 64 is identical to that described earlier in step 52, it will not described again here.

Next, in step 66 the obtained spectral sensitivity curves from step 52 are used by the SS processing system 12 to determine a Universal Measure of Goodness (UMG) factor. UMG takes into account the total noise of the system, both shot noise which is signal dependent and dark noise which is signal independent, and an expected average color difference. Total noise is measured through the sum of the shot noise covariance and the dark current noise covariance, while the expectation of the noise is still zero. For a standard set of object spectra, τ is the information content which would be delivered by the system described by the spectral sensitivity curves. Thus, τ is a function of the total noise and the average ΔE. For the same standard set of object spectra, α is the information content which a perfectly noise-free colorimetric system would deliver. UMG is the ratio of τ to α.

Next, in step 70 a color quality and noise sensitivity metric value for the color imaging device is determined in SS processing system 12 from the UMG factor, although other combinations of the UMG factor and/or other quality factors could also be used to determine the color quality and noise sensitivity metric value. In this particular embodiment, a relationship between the UMG factor and E stored in memory 18 is used by processor 16 to determine the color difference metric value. Since the process in this step is the same as described earlier in step 58 except a color quality and noise sensitivity metric value is being determined here instead of a color difference metric value and a UMG factor is used here instead of a μ-factor, the process will not described again here.

One of the advantages of this method is the use of a noise sensitivity metric because it involves a consideration of image-dependent noise. Image dependent noise is noise dependent on the input signal level, rather than independent, white noise as described in greater detail in Gerald C. Holst, “CCD Arrays Cameras and Displays”, SPIE Optical Engineering Press 1998 which is herein incorporated by reference. By incorporating this practical noise model into the image quality metric value, this embodiment of the present invention generates an image quality metric value which is more coincident with what occurs in the real world.

Next, in step 72 the color rendering capability of the color imaging device is evaluated based on the determined color quality and noise sensitivity metric value. Since the process in step 68 is identical to that described earlier in step 56, except that the evaluation is based using a color quality and noise sensitivity metric value instead of a color difference metric value, it will not described again here.

Referring to FIG. 4A is a flow chart of a method for designing a spectral sensitivity curve for one or more color channels of a color imaging device in accordance with another embodiment of the present invention is illustrated. In step 74, this method starts. Next, in step 76, an image quality value is obtained. way of example only, user input device 23 can be used to select or input the image quality value or the value could be retrieved from a memory device. Again, depending upon the embodiment, a variety of different types of image quality metric values could be used, such as a color difference metric value or a color quality and noise sensitivity metric value.

Next, in step 78 the SS processing system 12 uses the obtained image quality value to obtain or retrieve one or more tables, sets, or enumerations of combinations of spectral sensitivity curves from memory 18. The one or more tables sets, or enumerations of combinations of spectral sensitivity curves can be obtained in a variety of different manners, such as based on the image quality value itself or on a portion of the image quality value, such as a μ-factor on which the image quality value is at least partially based or on other factors. Two illustrative examples of such tables set forth below. In this particular embodiment, the tables are stored in memory 18, although the tables could be stored elsewhere. The tables are accessed by processor 16 to determine the spectral sensitivity curve(s) which are unknown needed or desired for the particular application.

Next, in step 80 the known spectral sensitivity curves are used to identify a combination or combinations of spectral sensitivity curves in the obtained table that could be used for the particular application.

Next, in step 82 one of the identified combinations of spectral sensitivity curves is selected. A variety of factors could be used by SS processing system 12 to determine how this selection is made, such as which combination of spectral sensitivity curves would have the best color rendering capability or by an operator making a selection using user input device 23.

Next, in step 84 the missing and desired spectral sensitivity curve or curves are determined from the selected combination. The selected combination will contain the needed information and/or data on the missing and desired spectral sensitivity curve or curves.

By way of example only, one example of this method is set forth below. If, for example, one chooses to design a third channel for a three-channel system where an image quality value is selected that is based at least partly on a μ-factor with a desired value of 0.98, then Table I would be selected. Next, if for this example, the spectral sensitivities of the first two channels in a three-channel system are already given where channel 1 has a peak sensitivity at 600 nm, a full width half maximum of 100 nm (wr=50, described above) and a skewness of 5 nm (wr=5, described above) and channel 2 has a peak sensitivity at 540 nm, a full width half maximum of 140 nm (wG=70) and a skewness of 5 nm ( wG=5), then consulting the table, one possible solution would be found on the following line:

Sensitivity Green Center Peaks in
wR wG wB ΔwR ΔwG ΔwB PλG PλR PλB HalfAxisR HalfAxisB
50 70 40 5 5 5 540 597 448 3 2

As shown here for the aformentioned channels 1 and 2, there is a satisfactory third channel with peak wavelength sensitivity of 448 nm, a full width half maximum of 80 nm and a skewness of 5 nm which would be determined to be the spectral sensitivity curve for this example. Although in this particular embodiment, the spectral sensitivity curve(s) is determined using tables, the selected image quality value, and the known spectral sensitivity curves, other methods for determining the spectral sensitivity curve may also be used.

Referring to FIG. 4B is a flow chart of a method for designing a spectral sensitivity curve for one or more color channels of a color imaging device in accordance with another embodiment of the present invention is illustrated. In step 86, this method starts. Next, in step 88, an image quality value is obtained. Since the process in step 88 is identical to that described earlier in step 76, it will not described again here.

Next, in step 90 the SS processing system 12 uses the obtained image quality value to obtain or retrieve one or more tables, sets, or enumerations of combinations of spectral sensitivity curves from memory 18. Since the process in step 90 is identical to that described earlier in step 78, it will not described again here.

Next, in step 92 one or more characteristics are used by SS processing system 12 to identify a combination or combinations of spectral sensitivity curves in the obtained table that could be used for the particular application. A variety of different characteristics, numbers of characteristics (one or more than one, and a variety of different combinations can be used as needed or desired for the particular application. The characteristics can be obtained in a variety of different manners, such as from memory 18 or via operator input using user input device 23.

Next, in step 94 one of the identified combinations of spectral sensitivity curves is selected. A variety of factors could be used by SS processing system 12 to determine how this selection is made, such as which combination of spectral sensitivity curves would have the best color rendering capability or by an operator making a selection using user input device 23.

Next, in step 96 the desired spectral sensitivity curves are obtained from the selected combination. The selected combination will contain the needed information and/or data on these spectral sensitivity curves.

One example of this particular embodiment is discussed below. If, for example, one chooses to design three channels for a three-channel system where the image quality metric value is based on a μ-factor with a desired value of 0.98, then Table I would be selected in this example. For that table, every channel sensitivity combination described in that table is associated with a μ-factor of 0.98. One could search for a characteristic such as a green curve which is easily manufactured. For example, say a channel with a peak sensitivity at 540 nm, a full width half maximum of 140 nm (WG=70) and a skewness of 5 nm ( WG=5) is easily made. Surveying Table I shows a possible second curve could have a peak sensitivity at 604 nm, a full width half maximum of 100 nm (wR=50) and a skewness of −5 nm (wR=−5). If the second curve with its negative skewness is considered difficult to manufacturer, the table can be further consulted by SS processing system 12 until a combination which meets all manufacturing criteria is met. For example, the following combination, also found in Table I, may be considered a good manufacturing candidate: the same first curve along with a second curve with peak sensitivity at 597 nm, a full width half maximum of 100 nm (wR=50) and a skewness of 5 nm (wR=5) and a third channel sensitivity with peak sensitivity at 448 nm, a full width half maximum of 80 nm (wB=40) and a skewness of 5 nm (wB=5)

Sensitivity Green Center Peaks in
wR wG wB ΔwR ΔwG ΔwB PλG PλR PλB HalfAxisR HalfAxisB
50 70 30 −5 5 0 540 604 450 2 1
50 70 40 5 5 5 540 597 448 3 2

Accordingly, with this method once an image quality value is selected, then one or more spectral sensitivity curves can be determined.

In yet another embodiment, as discussed earlier the μ-factor for an image quality value can be used to select a set or table of spectral sensitivity curves. Next, to select a combination of spectral sensitivity curves an optimization approach can be used by SS processing system 12 to select one of the combinations of spectral sensitivity curves. For example, three or more spectral sensitivity curves could be optimized by maximizing the image quality metric within one or more constraints. By way of example only, these constraints can be:

(1) Non-negativity

The transmittance of spectral sensitivity at each wavelength is non-negative.

(2) Smoothness

The second derivative of the physical sensitivity can be used as a measure of curvature and therefore as a measure of smoothness of the sensitivity.
|Si−1)−2Si)+Si+1)|=Δi; where 2≦i≦30
Δ≦Δmax

(3) Boundedness

In general, the transmittance at each wavelength cannot exceed one, or a constant that is less than one.

(4) Single Peak

The transmittance of the filter has one global maximum, and without local maximum.

Although four constraints are discussed above, a variety of different types of constraints and combinations of them can be used depending upon the particular application and its requirements.

In FIG. 5 a flow chart of a method for determining the tolerances for one or more color channels in a color imaging device in accordance with another embodiment of the present invention is illustrated. In step 98, this method starts. Next, in step 100 a spectral sensitivity curve for at least one of the multiple color channels in the color imaging device is obtained in a manner as described in greater detail earlier. Meanwhile in step 102 an image quality value is obtained. Since methods and systems for obtaining spectral sensitivity curve(s) and/or image quality values are discussed earlier, they will not be described here again.

Next, in step 104 a first pair of upper and lower tolerances on the peak wavelength is determined for the obtained spectral sensitivity curves for one of the multiple color channels. These tolerances may be obtained by processor 16 through reference to the tables stored in memory 18, such as the tables which are set forth below as examples. The table used is selected based on the obtained image quality value as described in greater detail earlier. The tables are useful in determining desirable channel spectral sensitivities for three-channel imaging devices. These tables provide manufacturing guidance on the choice of curves. The μ-factor used in deriving the tables is a color quality metric. The tables describe tolerances on the specification of the “red” and “blue” channels in a three-channel system. The tolerances are in terms of peak wavelength error which maintain the μ-factor at or above the desired level. The first table maintains a μ-factor of at least 0.98, the second maintains at least a μ-factor of 0.95.

Next, in step 106 a second pair of upper and lower tolerances on the full width half maximum is determined from the obtained spectral sensitivity curve for one of the multiple color channels. These tolerances may also be obtained through reference to the tables, such as the exemplary tables incorporated below in the same manner as described above in step 104.

Next, in step 108 the spectral sensitivity curve or curves are evaluated based on the determined first and second pair of tolerances. For example, the first and second pair of tolerances may provide an indication on the ease or difficulty in reproducing an imaging device with the same color rendering capability. If the tolerances are small, then it will be difficult to obtain imaging devices with the same color rendering capability.

EXAMPLES OF TWO TABLES

TABLE I
Peak wavelength tolerances based on single-peak symmetric or asymmetric channel
sensitivities for three channel cameras with μ-factor of .98 or larger
Sensitivity Green Center Peaks in
wR wG wB ΔwR ΔwG ΔwB PλG PλR PλB HalfAxisR HalfAxisB
50 50 30 −5 −5 0 540 604 450 2 1
50 50 30 −5 −5 5 540 604 446 2 2
50 50 30 −5 −5 5 550 602 446 1 1
50 50 30 −5 0 −5 540 604 454 1 1
50 50 30 −5 0 0 540 604 450 2 2
50 50 30 −5 0 5 540 603 446 2 2
50 50 30 −5 5 0 540 603 450 2 1
50 50 30 −5 5 5 540 603 446 2 2
50 50 30 0 −5 0 540 601 450 2 1
50 50 30 0 −5 5 540 600 446 2 2
50 50 30 0 −5 5 550 598 446 2 1
50 50 30 0 0 −5 540 600 454 2 1
50 50 30 0 0 0 540 600 450 2 2
50 50 30 0 0 5 540 600 446 2 2
50 50 30 0 5 0 540 599 450 2 1
50 50 30 0 5 5 540 600 446 2 2
50 50 30 5 −5 0 540 598 450 1 1
50 50 30 5 −5 5 540 597 446 2 1
50 50 30 5 −5 5 550 595 446 1 1
50 50 30 5 0 −5 540 597 454 1 1
50 50 30 5 0 0 540 597 450 2 2
50 50 30 5 0 5 540 597 446 2 2
50 50 30 5 5 0 540 597 450 2 1
50 50 30 5 5 5 540 596 446 2 2
50 50 40 −5 −5 −5 540 604 454 3 2
50 50 40 −5 −5 −5 550 601 454 2 2
50 50 40 −5 −5 0 540 603 451 3 2
50 50 40 −5 −5 0 550 601 451 3 2
50 50 40 −5 −5 5 540 604 447 3 2
50 50 40 −5 −5 5 550 601 448 3 2
50 50 40 −5 0 −5 540 603 454 3 2
50 50 40 −5 0 0 540 604 451 3 2
50 50 40 −5 0 0 550 600 451 2 1
50 50 40 −5 0 5 540 603 447 3 2
50 50 40 −5 0 5 550 600 448 2 2
50 50 40 −5 5 −5 530 604 454 2 1
50 50 40 −5 5 −5 540 603 454 3 2
50 50 40 −5 5 0 530 604 451 2 2
50 50 40 −5 5 0 540 603 451 3 2
50 50 40 −5 5 5 530 605 447 2 2
50 50 40 −5 5 5 540 602 447 3 2
50 50 40 0 −5 −5 540 600 454 3 2
50 50 40 0 −5 −5 550 598 454 3 2
50 50 40 0 −5 0 540 601 451 3 2
50 50 40 0 −5 0 550 597 450 3 2
50 50 40 0 −5 5 540 600 447 3 2
50 50 40 0 −5 5 550 598 448 3 2
50 50 40 0 0 −5 540 600 454 3 2
50 50 40 0 0 0 540 600 451 3 2
50 50 40 0 0 0 550 597 451 2 1
50 50 40 0 0 5 540 600 447 3 2
50 50 40 0 0 5 550 597 448 2 2
50 50 40 0 5 −5 530 601 454 2 1
50 50 40 0 5 −5 540 599 454 3 2
50 50 40 0 5 0 530 602 451 2 2
50 50 40 0 5 0 540 600 451 3 2
50 50 40 0 5 5 530 601 447 2 2
50 50 40 0 5 5 540 600 447 3 2
50 50 40 5 −5 −5 540 598 454 2 2
50 50 40 5 −5 −5 550 595 454 2 2
50 50 40 5 −5 0 540 597 451 3 2
50 50 40 5 −5 0 550 595 451 3 2
50 50 40 5 −5 5 540 597 447 3 2
50 50 40 5 −5 5 550 594 448 3 2
50 50 40 5 0 −5 540 597 454 3 2
50 50 40 5 0 0 540 597 451 3 2
50 50 40 5 0 0 550 593 451 2 1
50 50 40 5 0 5 540 597 447 3 2
50 50 40 5 0 5 550 594 448 2 2
50 50 40 5 5 −5 530 598 454 1 1
50 50 40 5 5 −5 540 596 454 3 2
50 50 40 5 5 0 530 598 451 2 2
50 50 40 5 5 0 540 596 451 3 2
50 50 40 5 5 5 530 598 447 2 2
50 50 40 5 5 5 540 596 447 3 2
50 50 40 −5 0 5 540 604 448 1 1
50 50 50 0 0 5 540 600 449 1 1
50 60 30 −5 −5 −5 550 601 454 2 2
50 60 30 −5 −5 0 540 603 450 2 1
50 60 30 −5 −5 0 550 601 450 2 2
50 60 30 −5 −5 5 540 604 446 2 2
50 60 30 −5 −5 5 550 601 446 3 2
50 60 30 −5 −5 5 560 597 446 1 1
50 60 30 −5 0 −5 540 603 454 2 1
50 60 30 −5 0 −5 550 601 454 2 1
50 60 30 −5 0 0 540 603 450 2 2
50 60 30 −5 0 0 550 601 450 2 2
50 60 30 −5 0 5 540 603 446 2 2
50 60 30 −5 0 5 550 600 446 3 2
50 60 30 −5 5 −5 540 603 454 2 2
50 60 30 −5 5 0 540 603 450 2 2
50 60 30 −5 5 0 550 601 450 2 1
50 60 30 −5 5 5 540 602 446 2 2
50 60 30 −5 5 5 550 600 446 2 2
50 60 30 0 −5 −5 550 598 454 2 2
50 60 30 0 −5 0 540 601 450 2 1
50 60 30 0 −5 0 550 598 450 3 2
50 60 30 0 −5 0 560 594 450 1 1
50 60 30 0 −5 5 540 600 446 2 2
50 60 30 0 −5 5 550 598 446 3 2
50 60 30 0 −5 5 560 594 446 2 1
50 60 30 0 0 −5 540 600 454 2 1
50 60 30 0 0 −5 550 597 454 2 2
50 60 30 0 0 0 540 600 450 2 2
50 60 30 0 0 0 550 597 450 2 2
50 60 30 0 0 5 540 600 446 2 2
50 60 30 0 0 5 550 598 446 2 2
50 60 30 0 5 −5 540 600 454 2 2
50 60 30 0 5 −5 550 597 454 1 0
50 60 30 0 5 0 540 600 450 2 2
50 60 30 0 5 0 550 597 450 2 2
50 60 30 0 5 5 540 600 446 3 2
50 60 30 0 5 5 550 597 446 2 2
50 60 30 5 −5 −5 550 595 454 2 2
50 60 30 5 −5 0 540 597 450 2 1
50 60 30 5 −5 0 550 595 450 2 2
50 60 30 5 −5 0 560 591 450 2 1
50 60 30 5 −5 5 540 597 446 2 2
50 60 30 5 −5 5 550 595 446 3 2
50 60 30 5 −5 5 560 591 446 2 1
50 60 30 5 0 −5 540 597 454 2 1
50 60 30 5 0 −5 550 595 454 2 1
50 60 30 5 0 0 540 597 450 2 2
50 60 30 5 0 0 550 595 450 2 2
50 60 30 5 0 5 540 597 446 2 2
50 60 30 5 0 5 550 594 446 3 2
50 60 30 5 5 −5 540 597 454 2 2
50 60 30 5 5 0 540 597 450 2 2
50 60 30 5 5 0 550 594 450 2 1
50 60 30 5 5 5 540 596 446 2 2
50 60 30 5 5 5 550 594 446 2 2
50 60 40 −5 −5 −5 540 604 454 3 2
50 60 40 −5 −5 −5 550 602 454 3 2
50 60 40 −5 −5 −5 560 597 454 2 2
50 60 40 −5 −5 0 540 603 451 3 2
50 60 40 −5 −5 0 550 601 451 3 3
50 60 40 −5 −5 0 560 598 451 3 2
50 60 40 −5 −5 5 540 604 448 3 2
50 60 40 −5 −5 5 550 601 448 3 3
50 60 40 −5 −5 5 560 597 448 3 2
50 60 40 −5 −5 5 570 594 447 1 1
50 60 40 −5 0 −5 540 603 454 3 2
50 60 40 −5 0 −5 550 601 454 3 2
50 60 40 −5 0 −5 560 597 455 2 1
50 60 40 −5 0 0 540 603 451 3 3
50 60 40 −5 0 0 550 601 451 3 2
50 60 40 −5 0 0 560 597 451 2 2
50 60 40 −5 0 5 530 605 448 1 1
50 60 40 −5 0 5 540 603 448 3 3
50 60 40 −5 0 5 550 601 448 3 3
50 60 40 −5 0 5 560 597 447 2 2
50 60 40 −5 5 −5 530 605 455 1 1
50 60 40 −5 5 −5 540 603 454 3 2
50 60 40 −5 5 −5 550 600 454 3 2
50 60 40 −5 5 0 530 604 451 2 2
50 60 40 −5 5 0 540 603 451 3 3
50 60 40 −5 5 0 550 601 451 3 2
50 60 40 −5 5 5 530 604 448 2 2
50 60 40 −5 5 5 540 603 448 3 3
50 60 40 −5 5 5 550 600 447 3 2
50 60 40 0 −5 −5 540 600 454 3 2
50 60 40 0 −5 −5 550 598 454 3 2
50 60 40 0 −5 −5 560 594 454 3 2
50 60 40 0 −5 −5 570 591 454 1 2
50 60 40 0 −5 0 540 600 451 3 2
50 60 40 0 −5 0 550 598 451 3 3
50 60 40 0 −5 0 560 595 451 3 2
50 60 40 0 −5 0 570 590 450 2 2
50 60 40 0 −5 5 540 600 448 3 2
50 60 40 0 −5 5 550 598 448 3 3
50 60 40 0 −5 5 560 594 447 3 2
50 60 40 0 −5 5 570 591 447 2 2
50 60 40 0 0 −5 540 600 454 3 2
50 60 40 0 0 −5 550 598 454 3 2
50 60 40 0 0 −5 560 594 454 2 2
50 60 40 0 0 0 540 600 451 3 3
50 60 40 0 0 0 550 597 451 3 3
50 60 40 0 0 0 560 594 451 2 2
50 60 40 0 0 5 530 601 448 1 1
50 60 40 0 0 5 540 600 448 3 3
50 60 40 0 0 5 550 597 448 3 3
50 60 40 0 0 5 560 594 448 2 2
50 60 40 0 5 −5 530 601 455 2 1
50 60 40 0 5 −5 540 600 454 3 2
50 60 40 0 5 −5 550 597 454 3 2
50 60 40 0 5 0 530 601 451 2 2
50 60 40 0 5 0 540 600 451 3 3
50 60 40 0 5 0 550 597 451 3 2
50 60 40 0 5 5 530 601 448 2 2
50 60 40 0 5 5 540 599 448 3 3
50 60 40 0 5 5 550 598 447 3 2
50 60 40 5 −5 −5 540 597 454 3 2
50 60 40 5 −5 −5 550 595 454 3 2
50 60 40 5 −5 −5 560 590 454 2 2
50 60 40 5 −5 −5 570 587 454 1 1
50 60 40 5 −5 0 540 597 451 3 2
50 60 40 5 −5 0 550 595 451 3 3
50 60 40 5 −5 0 560 591 451 3 2
50 60 40 5 −5 0 570 587 450 2 2
50 60 40 5 −5 5 540 597 448 3 2
50 60 40 5 −5 5 550 594 448 3 3
50 60 40 5 −5 5 560 591 447 3 2
50 60 40 5 −5 5 570 588 447 2 2
50 60 40 5 0 −5 540 597 454 3 2
50 60 40 5 0 −5 550 594 454 3 2
50 60 40 5 0 −5 560 591 454 2 2
50 60 40 5 0 0 540 597 451 3 2
50 60 40 5 0 0 550 594 451 3 2
50 60 40 5 0 0 560 591 451 2 2
50 60 40 5 0 5 530 598 448 1 1
50 60 40 5 0 5 540 597 448 3 3
50 60 40 5 0 5 550 595 448 3 3
50 60 40 5 0 5 560 591 447 2 2
50 60 40 5 5 −5 530 598 454 1 1
50 60 40 5 5 −5 540 596 454 3 2
50 60 40 5 5 −5 550 594 454 3 2
50 60 40 5 5 0 530 598 451 2 2
50 60 40 5 5 0 540 596 451 3 3
50 60 40 5 5 0 550 594 451 3 2
50 60 40 5 5 5 530 598 447 2 2
50 60 40 5 5 5 540 597 448 3 3
50 60 40 5 5 5 550 594 447 3 2
50 60 50 −5 −5 −5 550 601 454 1 1
50 60 50 −5 −5 0 550 601 452 2 2
50 60 50 −5 −5 5 540 604 450 1 2
50 60 50 −5 −5 5 550 601 449 2 2
50 60 50 −5 0 0 540 603 452 2 2
50 60 50 −5 0 0 550 601 452 1 1
50 60 50 −5 0 5 540 603 449 2 2
50 60 50 −5 0 5 550 600 449 2 2
50 60 50 −5 5 −5 540 603 454 1 1
50 60 50 −5 5 0 540 603 452 2 2
50 60 50 −5 5 5 540 603 449 2 2
50 60 50 0 −5 −5 550 598 454 1 1
50 60 50 0 −5 0 550 598 452 2 2
50 60 50 0 −5 5 540 600 450 2 2
50 60 50 0 −5 5 550 598 449 2 2
50 60 50 0 0 −5 540 600 454 1 1
50 60 50 0 0 0 540 600 452 2 2
50 60 50 0 0 0 550 597 451 2 1
50 60 50 0 0 5 540 600 449 2 2
50 60 50 0 0 5 550 597 448 2 2
50 60 50 0 5 −5 540 600 454 1 1
50 60 50 0 5 0 540 600 452 2 2
50 60 50 0 5 5 540 600 449 2 2
50 60 50 5 −5 −5 550 595 454 1 1
50 60 50 5 −5 0 550 595 452 2 2
50 60 50 5 −5 5 540 597 449 1 1
50 60 50 5 −5 5 550 595 449 2 2
50 60 50 5 0 0 540 597 452 2 1
50 60 50 5 0 0 550 594 451 1 1
50 60 50 5 0 5 540 597 449 2 2
50 60 50 5 0 5 550 594 449 2 1
50 60 50 5 5 −5 540 597 454 1 1
50 60 50 5 5 0 540 597 452 2 2
50 60 50 5 5 5 540 597 449 2 2
50 70 30 −5 −5 −5 550 602 454 1 1
50 70 30 −5 −5 −5 560 601 454 2 1
50 70 30 −5 −5 −5 570 600 454 1 1
50 70 30 −5 −5 0 550 602 450 2 2
50 70 30 −5 −5 0 560 601 450 2 2
50 70 30 −5 −5 0 570 600 450 2 2
50 70 30 −5 −5 5 550 602 446 2 2
50 70 30 −5 −5 5 560 601 446 2 2
50 70 30 −5 −5 5 570 600 446 2 2
50 70 30 −5 0 −5 550 603 454 2 1
50 70 30 −5 0 −5 560 601 454 2 1
50 70 30 −5 0 0 550 602 450 2 2
50 70 30 −5 0 0 560 601 450 2 2
50 70 30 −5 0 5 540 604 446 1 1
50 70 30 −5 0 5 550 603 446 2 2
50 70 30 −5 0 5 560 601 446 2 2
50 70 30 −5 0 5 570 600 446 0 0
50 70 30 −5 5 −5 550 603 454 2 2
50 70 30 −5 5 0 540 604 450 2 1
50 70 30 −5 5 0 550 603 450 2 2
50 70 30 −5 5 0 560 602 450 2 1
50 70 30 −5 5 5 540 604 446 2 2
50 70 30 −5 5 5 550 603 446 2 2
50 70 30 −5 5 5 560 601 446 2 2
50 70 30 0 −5 −5 550 599 454 2 1
50 70 30 0 −5 −5 560 597 454 2 2
50 70 30 0 −5 −5 570 596 454 2 1
50 70 30 0 −5 0 550 599 450 2 2
50 70 30 0 −5 0 560 597 450 2 2
50 70 30 0 −5 0 570 597 450 2 2
50 70 30 0 −5 0 580 598 450 1 1
50 70 30 0 −5 5 550 599 446 2 2
50 70 30 0 −5 5 560 597 446 2 2
50 70 30 0 −5 5 570 597 446 2 2
50 70 30 0 −5 5 580 598 447 1 1
50 70 30 0 0 −5 550 599 454 2 2
50 70 30 0 0 −5 560 598 454 2 2
50 70 30 0 0 0 550 599 450 2 2
50 70 30 0 0 0 560 598 450 2 2
50 70 30 0 0 0 570 597 450 1 1
50 70 30 0 0 5 540 601 446 1 1
50 70 30 0 0 5 550 599 446 2 2
50 70 30 0 0 5 560 598 446 2 2
50 70 30 0 0 5 570 598 446 2 1
50 70 30 0 5 −5 550 599 454 2 2
50 70 30 0 5 −5 560 599 454 1 1
50 70 30 0 5 0 540 601 450 2 1
50 70 30 0 5 0 550 599 450 2 2
50 70 30 0 5 0 560 599 450 2 2
50 70 30 0 5 5 540 601 446 2 2
50 70 30 0 5 5 550 599 446 2 2
50 70 30 0 5 5 560 598 446 2 2
50 70 30 5 −5 −5 550 596 454 1 1
50 70 30 5 −5 −5 560 595 454 2 2
50 70 30 5 −5 −5 570 594 454 1 1
50 70 30 5 −5 0 550 596 450 2 2
50 70 30 5 −5 0 560 594 450 2 2
50 70 30 5 −5 0 570 593 450 2 2
50 70 30 5 −5 0 580 595 450 1 1
50 70 30 5 −5 5 550 596 446 2 2
50 70 30 5 −5 5 560 595 446 2 2
50 70 30 5 −5 5 570 594 446 2 2
50 70 30 5 −5 5 580 595 446 1 1
50 70 30 5 0 −5 550 596 454 2 2
50 70 30 5 0 −5 560 595 454 2 2
50 70 30 5 0 0 550 596 450 2 2
50 70 30 5 0 0 560 595 450 2 2
50 70 30 5 0 0 570 594 450 1 1
50 70 30 5 0 5 540 597 446 1 1
50 70 30 5 0 5 550 596 446 2 2
50 70 30 5 0 5 560 595 446 2 2
50 70 30 5 0 5 570 594 446 2 2
50 70 30 5 5 −5 550 597 454 2 2
50 70 30 5 5 −5 560 595 454 1 1
50 70 30 5 5 0 540 598 450 2 1
50 70 30 5 5 0 550 596 450 2 2
50 70 30 5 5 0 560 595 450 2 2
50 70 30 5 5 5 540 597 446 2 2
50 70 30 5 5 5 550 597 446 2 2
50 70 30 5 5 5 560 595 446 2 2
50 70 40 −5 −5 −5 540 604 455 2 2
50 70 40 −5 −5 −5 550 603 455 3 2
50 70 40 −5 −5 −5 560 601 454 3 2
50 70 40 −5 −5 −5 570 600 454 2 2
50 70 40 −5 −5 −5 580 601 454 1 1
50 70 40 −5 −5 0 540 604 452 2 2
50 70 40 −5 −5 0 550 602 451 3 2
50 70 40 −5 −5 0 560 601 451 3 2
50 70 40 −5 −5 0 570 601 451 2 2
50 70 40 −5 −5 0 580 602 451 2 2
50 70 40 −5 −5 5 540 604 448 3 2
50 70 40 −5 −5 5 550 602 448 3 3
50 70 40 −5 −5 5 560 601 448 3 3
50 70 40 −5 −5 5 570 600 447 2 2
50 70 40 −5 −5 5 580 602 447 2 2
50 70 40 −5 0 −5 540 604 455 2 2
50 70 40 −5 0 −5 550 603 454 3 2
50 70 40 −5 0 −5 560 602 454 2 2
50 70 40 −5 0 −5 570 601 454 2 2
50 70 40 −5 0 0 540 604 452 3 2
50 70 40 −5 0 0 550 602 451 3 3
50 70 40 −5 0 0 560 601 451 3 2
50 70 40 −5 0 0 570 601 451 2 2
50 70 40 −5 0 5 540 603 448 3 2
50 70 40 −5 0 5 550 602 448 3 3
50 70 40 −5 0 5 560 601 448 3 3
50 70 40 −5 0 5 570 602 448 2 2
50 70 40 −5 5 −5 540 604 454 2 2
50 70 40 −5 5 −5 550 603 454 3 2
50 70 40 −5 5 −5 560 602 454 2 2
50 70 40 −5 5 0 540 604 451 3 2
50 70 40 −5 5 0 550 603 451 3 3
50 70 40 −5 5 0 560 602 451 2 2
50 70 40 −5 5 5 530 605 448 1 1
50 70 40 −5 5 5 540 604 448 3 2
50 70 40 −5 5 5 550 602 448 3 3
50 70 40 −5 5 5 560 602 447 2 2
50 70 40 0 −5 −5 540 600 455 2 2
50 70 40 0 −5 −5 550 599 455 3 2
50 70 40 0 −5 −5 560 597 454 3 2
50 70 40 0 −5 −5 570 597 454 2 2
50 70 40 0 −5 −5 580 598 454 2 2
50 70 40 0 −5 0 540 600 452 3 2
50 70 40 0 −5 0 550 599 451 3 3
50 70 40 0 −5 0 560 598 451 3 3
50 70 40 0 −5 0 570 597 451 3 2
50 70 40 0 −5 0 580 599 450 2 2
50 70 40 0 −5 5 540 600 448 3 2
50 70 40 0 −5 5 550 599 448 3 3
50 70 40 0 −5 5 560 598 448 3 3
50 70 40 0 −5 5 570 597 448 3 3
50 70 40 0 −5 5 580 598 448 2 2
50 70 40 0 0 −5 540 601 454 2 2
50 70 40 0 0 −5 550 599 454 3 2
50 70 40 0 0 −5 560 598 454 3 2
50 70 40 0 0 −5 570 598 454 2 2
50 70 40 0 0 0 540 600 451 3 2
50 70 40 0 0 0 550 600 451 3 3
50 70 40 0 0 0 560 598 451 3 3
50 70 40 0 0 0 570 598 451 2 2
50 70 40 0 0 5 540 601 448 3 2
50 70 40 0 0 5 550 599 448 3 3
50 70 40 0 0 5 560 598 448 3 3
50 70 40 0 0 5 570 597 447 2 2
50 70 40 0 5 −5 540 600 454 3 2
50 70 40 0 5 −5 550 599 454 3 2
50 70 40 0 5 −5 560 599 454 2 2
50 70 40 0 5 0 540 601 451 3 2
50 70 40 0 5 0 550 600 451 3 3
50 70 40 0 5 0 560 598 451 3 2
50 70 40 0 5 0 570 599 451 1 1
50 70 40 0 5 5 530 602 449 1 1
50 70 40 0 5 5 540 601 448 3 2
50 70 40 0 5 5 550 600 448 3 3
50 70 40 0 5 5 560 598 447 3 2
50 70 40 0 5 5 570 598 448 2 2
50 70 40 5 −5 −5 540 598 455 2 2
50 70 40 5 −5 −5 550 596 455 3 2
50 70 40 5 −5 −5 560 595 454 3 2
50 70 40 5 −5 −5 570 594 454 2 2
50 70 40 5 −5 −5 580 595 454 2 2
50 70 40 5 −5 0 540 597 452 2 2
50 70 40 5 −5 0 550 596 451 3 2
50 70 40 5 −5 0 560 595 451 3 3
50 70 40 5 −5 0 570 594 451 3 2
50 70 40 5 −5 0 580 595 450 2 2
50 70 40 5 −5 5 540 598 448 3 2
50 70 40 5 −5 5 550 596 448 3 3
50 70 40 5 −5 5 560 594 448 3 3
50 70 40 5 −5 5 570 594 448 3 2
50 70 40 5 −5 5 580 595 448 2 2
50 70 40 5 0 −5 540 597 455 2 2
50 70 40 5 0 −5 550 597 454 3 2
50 70 40 5 0 −5 560 595 454 3 2
50 70 40 5 0 −5 570 594 454 2 2
50 70 40 5 0 0 540 598 452 3 2
50 70 40 5 0 0 550 596 451 3 3
50 70 40 5 0 0 560 595 451 3 2
50 70 40 5 0 0 570 594 451 2 2
50 70 40 5 0 5 540 597 448 3 2
50 70 40 5 0 5 550 596 448 3 3
50 70 40 5 0 5 560 595 448 3 3
50 70 40 5 0 5 570 595 447 2 2
50 70 40 5 0 5 580 596 448 0 1
50 70 40 5 5 −5 540 598 454 2 2
50 70 40 5 5 −5 550 597 454 3 2
50 70 40 5 5 −5 560 595 454 2 2
50 70 40 5 5 0 540 597 451 3 2
50 70 40 5 5 0 550 596 451 3 3
50 70 40 5 5 0 560 596 451 2 2
50 70 40 5 5 0 570 595 451 1 1
50 70 40 5 5 5 530 599 449 1 1
50 70 40 5 5 5 540 597 448 3 2
50 70 40 5 5 5 550 596 448 3 3
50 70 40 5 5 5 560 596 447 3 2
50 70 40 5 5 5 570 595 448 2 2
50 70 50 −5 −5 0 550 602 452 2 2
50 70 50 −5 −5 0 560 600 452 2 2
50 70 50 −5 −5 5 550 602 449 2 2
50 70 50 −5 −5 5 560 600 449 2 2
50 70 50 −5 0 −5 550 603 455 1 1
50 70 50 −5 0 0 550 602 452 2 2
50 70 50 −5 0 0 560 601 451 1 1
50 70 50 −5 0 5 540 604 450 0 0
50 70 50 −5 0 5 550 602 449 2 2
50 70 50 −5 0 5 560 601 449 1 2
50 70 50 −5 5 −5 550 603 455 1 1
50 70 50 −5 5 0 550 602 452 2 2
50 70 50 −5 5 5 540 604 450 1 2
50 70 50 −5 5 5 550 603 449 2 2
50 70 50 0 −5 −5 550 599 454 1 1
50 70 50 0 −5 −5 560 597 455 1 1
50 70 50 0 −5 0 550 599 452 2 2
50 70 50 0 −5 0 560 597 452 2 2
50 70 50 0 −5 0 570 596 451 2 1
50 70 50 0 −5 5 550 599 449 2 2
50 70 50 0 −5 5 560 597 449 2 2
50 70 50 0 −5 5 570 597 449 1 2
50 70 50 0 0 −5 550 599 455 1 1
50 70 50 0 0 −5 560 598 454 1 1
50 70 50 0 0 0 550 599 452 2 2
50 70 50 0 0 0 560 598 452 1 2
50 70 50 0 0 5 540 601 450 1 2
50 70 50 0 0 5 550 599 449 2 2
50 70 50 0 0 5 560 598 449 2 2
50 70 50 0 5 −5 550 599 454 2 1
50 70 50 0 5 0 540 600 452 1 1
50 70 50 0 5 0 550 599 451 2 2
50 70 50 0 5 5 540 600 450 2 2
50 70 50 0 5 5 550 599 449 2 2
50 70 50 0 −5 −5 560 594 454 1 1
50 70 50 5 −5 0 550 596 452 2 2
50 70 50 5 −5 0 560 594 452 2 2
50 70 50 5 −5 5 550 595 449 2 2
50 70 50 5 −5 5 560 594 449 2 2
50 70 50 5 −5 5 570 593 449 1 1
50 70 50 5 0 −5 550 596 455 1 1
50 70 50 5 0 0 550 596 452 2 2
50 70 50 5 0 0 560 595 451 1 1
50 70 50 5 0 5 550 596 449 2 2
50 70 50 5 0 5 560 594 448 2 2
50 70 50 5 5 −5 550 596 454 1 1
50 70 50 5 5 0 550 596 452 2 2
50 70 50 5 5 5 540 597 449 1 1
50 70 50 5 5 5 550 597 449 2 2
60 50 30 −5 −5 −5 540 600 454 2 1
60 50 30 −5 −5 −5 550 595 454 2 1
60 50 30 −5 −5 0 540 599 450 2 2
60 50 30 −5 −5 0 550 594 450 3 2
60 50 30 −5 −5 5 540 599 446 3 2
60 50 30 −5 −5 5 550 594 446 3 2
60 50 30 −5 0 −5 540 598 454 2 2
60 50 30 −5 0 0 540 598 450 3 2
60 50 30 −5 0 5 540 598 446 3 2
60 50 30 −5 5 −5 540 598 454 2 1
60 50 30 −5 5 0 540 597 450 3 2
60 50 30 −5 5 5 540 597 446 3 2
60 50 30 0 −5 −5 540 597 454 1 0
60 50 30 0 −5 −5 550 591 454 2 1
60 50 30 0 −5 0 540 597 450 2 2
60 50 30 0 −5 0 550 591 450 3 2
60 50 30 0 −5 5 540 596 446 3 2
60 50 30 0 −5 5 550 591 446 3 2
60 50 30 0 0 −5 540 595 454 2 2
60 50 30 0 0 0 540 595 450 3 2
60 50 30 0 0 5 540 595 450 3 2
60 50 30 0 0 5 550 589 446 1 1
60 50 30 0 5 −5 540 594 454 2 1
60 50 30 0 5 0 540 594 450 3 2
60 50 30 0 5 5 540 594 446 3 2
60 50 30 5 −5 −5 550 587 454 2 1
60 50 30 5 −5 0 540 594 450 2 1
60 50 30 5 −5 0 550 587 450 3 2
60 50 30 5 −5 5 540 593 446 2 2
60 50 30 5 −5 5 550 586 446 3 2
60 50 30 5 0 −5 540 593 454 2 1
60 50 30 5 0 0 540 592 450 3 2
60 50 30 5 0 5 540 592 446 3 2
60 50 30 5 0 5 550 584 446 1 1
60 50 30 5 5 −5 540 591 454 1 1
60 50 30 5 5 0 540 591 450 2 2
60 50 30 5 5 5 540 591 446 3 2
60 50 40 −5 −5 −5 540 599 454 3 2
60 50 40 −5 −5 −5 550 594 454 3 2
60 50 40 −5 −5 0 540 599 451 3 2
60 50 40 −5 −5 0 550 594 451 4 2
60 50 40 −5 −5 5 540 599 448 3 3
60 50 40 −5 −5 5 550 593 447 4 2
60 50 40 −5 0 −5 540 598 454 3 2
60 50 40 −5 0 −5 550 592 454 3 2
60 50 40 −5 0 0 540 598 451 4 3
60 50 40 −5 0 0 550 592 451 3 2
60 50 40 −5 0 5 540 598 448 4 3
60 50 40 −5 0 5 550 593 448 3 2
60 50 40 −5 5 −5 530 601 454 2 2
60 50 40 −5 5 −5 540 597 454 3 2
60 50 40 −5 5 0 530 601 451 2 2
60 50 40 −5 5 0 540 597 451 3 2
60 50 40 −5 5 5 530 601 447 3 2
60 50 40 −5 5 5 540 596 448 4 3
60 50 40 0 −5 −5 540 597 454 3 2
60 50 40 0 −5 −5 550 590 454 4 2
60 50 40 0 −5 0 540 596 451 3 2
60 50 40 0 −5 0 550 590 451 4 2
60 50 40 0 −5 5 540 596 447 3 2
60 50 40 0 −5 5 550 589 447 4 2
60 50 40 0 0 −5 540 595 454 3 2
60 50 40 0 0 −5 550 588 454 3 2
60 50 40 0 0 0 540 595 451 4 2
60 50 40 0 0 0 550 588 451 3 2
60 50 40 0 0 5 540 595 448 4 3
60 50 40 0 0 5 550 588 448 3 2
60 50 40 0 5 −5 530 598 455 1 1
60 50 40 0 5 −5 540 594 454 3 2
60 50 40 0 5 0 530 598 451 2 2
60 50 40 0 5 0 540 594 451 3 2
60 50 40 0 5 5 530 598 447 3 2
60 50 40 0 5 5 540 593 448 4 2
60 50 40 5 −5 −5 540 594 454 3 2
60 50 40 5 −5 −5 550 585 454 4 2
60 50 40 5 −5 0 540 593 451 3 2
60 50 40 5 −5 0 550 585 451 4 2
60 50 40 5 −5 5 540 593 447 3 2
60 50 40 5 −5 5 550 580 447 4 2
60 50 40 5 0 −5 540 592 454 3 2
60 50 40 5 0 −5 550 583 454 3 2
60 50 40 5 0 0 540 592 451 3 2
60 50 40 5 0 0 550 580 451 4 2
60 50 40 5 0 5 540 592 448 4 3
60 50 40 5 0 5 550 579 448 4 2
60 50 40 5 5 −5 540 591 454 3 2
60 50 40 5 5 0 530 595 451 2 1
60 50 40 5 5 0 540 591 451 3 2
60 50 40 5 5 5 530 595 448 2 2
60 50 40 5 5 5 540 590 447 4 2
60 50 50 −5 −5 5 540 599 449 2 1
60 50 50 −5 0 −5 540 599 454 1 1
60 50 50 −5 0 0 540 598 452 2 2
60 50 50 −5 0 5 540 598 449 2 2
60 50 50 −5 5 5 540 597 449 2 1
60 50 50 0 −5 5 540 597 449 1 1
60 50 50 0 0 0 540 595 451 2 1
60 50 50 0 0 5 540 596 449 2 2
60 50 50 0 5 5 540 594 449 2 1
60 50 50 5 0 5 540 593 449 2 1
60 60 30 −5 −5 −5 550 595 454 3 2
60 60 30 −5 −5 −5 560 587 454 2 1
60 60 30 −5 −5 0 540 599 450 2 2
60 60 30 −5 −5 0 550 595 450 3 2
60 60 30 −5 −5 0 560 587 450 3 2
60 60 30 −5 −5 0 570 576 450 1 1
60 60 30 −5 −5 5 540 599 446 2 2
60 60 30 −5 −5 5 550 594 446 3 2
60 60 30 −5 −5 5 560 587 446 3 2
60 60 30 −5 −5 5 570 576 446 2 1
60 60 30 −5 0 −5 540 598 454 2 2
60 60 30 −5 0 −5 550 593 454 3 2
60 60 30 −5 0 0 540 599 450 3 2
60 60 30 −5 0 0 550 593 450 3 2
60 60 30 −5 0 0 560 586 450 2 1
60 60 30 −5 0 5 540 598 446 3 2
60 60 30 −5 0 5 550 594 446 3 2
60 60 30 −5 0 5 560 586 446 2 2
60 60 30 −5 5 −5 540 598 454 2 2
60 60 30 −5 5 −5 550 592 454 3 2
60 60 30 −5 5 0 540 598 450 3 2
60 60 30 −5 5 0 550 592 450 3 2
60 60 30 −5 5 5 540 598 446 3 2
60 60 30 −5 5 5 550 593 446 3 2
60 60 30 0 −5 −5 550 592 454 3 2
60 60 30 0 −5 −5 560 584 454 2 2
60 60 30 0 −5 0 540 597 450 2 1
60 60 30 0 −5 0 550 592 450 3 2
60 60 30 0 −5 0 560 584 450 3 2
60 60 30 0 −5 5 540 597 446 2 2
60 60 30 0 −5 5 550 592 446 3 2
60 60 30 0 −5 5 560 584 446 3 2
60 60 30 0 0 −5 540 596 454 2 1
60 60 30 0 0 −5 550 591 454 3 2
60 60 30 0 0 −5 560 582 454 2 1
60 60 30 0 0 0 540 596 450 3 2
60 60 30 0 0 0 550 591 450 3 2
60 60 30 0 0 0 560 582 450 3 2
60 60 30 0 0 0 570 573 450 1 1
60 60 30 0 0 5 540 596 446 3 2
60 60 30 0 0 5 550 590 446 3 2
60 60 30 0 0 5 560 582 446 3 2
60 60 30 0 0 5 570 573 446 1 1
60 60 30 0 5 −5 540 595 454 2 2
60 60 30 0 5 −5 550 590 454 2 2
60 60 30 0 5 0 540 595 450 3 2
60 60 30 0 5 0 550 590 450 3 2
60 60 30 0 5 5 540 594 446 3 2
60 60 30 0 5 5 550 589 446 3 2
60 60 30 5 −5 −5 550 589 454 3 2
60 60 30 5 −5 −5 560 582 454 2 1
60 60 30 5 −5 0 540 594 450 1 1
60 60 30 5 −5 0 550 589 450 3 2
60 60 30 5 −5 0 560 582 450 3 2
60 60 30 5 −5 5 540 594 446 2 1
60 60 30 5 −5 5 550 589 446 3 2
60 60 30 5 −5 5 560 582 446 3 2
60 60 30 5 0 −5 540 594 454 2 1
60 60 30 5 0 −5 550 588 454 3 2
60 60 30 5 0 0 540 593 450 2 2
60 60 30 5 0 0 550 588 450 3 2
60 60 30 5 0 0 560 580 450 2 1
60 60 30 5 0 5 540 594 446 2 2
60 60 30 5 0 5 550 588 446 3 2
60 60 30 5 0 5 560 579 446 3 2
60 60 30 5 5 −5 540 592 454 2 1
60 60 30 5 5 −5 550 587 454 2 1
60 60 30 5 5 0 540 592 450 3 2
60 60 30 5 5 0 550 587 450 3 2
60 60 30 5 5 5 540 593 446 3 2
60 60 30 5 5 5 550 587 446 3 2
60 60 30 5 5 5 560 578 446 1 1
60 60 40 −5 −5 −5 540 599 455 3 2
60 60 40 −5 −5 −5 550 594 454 4 3
60 60 40 −5 −5 −5 560 587 454 3 2
60 60 40 −5 −5 −5 570 578 454 2 2
60 60 40 −5 −5 0 540 599 451 3 2
60 60 40 −5 −5 0 550 594 451 4 3
60 60 40 −5 −5 0 560 587 451 4 2
60 60 40 −5 −5 0 570 579 450 3 2
60 60 40 −5 −5 5 540 599 448 3 3
60 60 40 −5 −5 5 550 594 448 4 3
60 60 40 −5 −5 5 560 586 448 4 3
60 60 40 −5 −5 5 570 580 448 3 2
60 60 40 −5 0 −5 540 598 454 3 2
60 60 40 −5 0 −5 550 594 454 3 3
60 60 40 −5 0 −5 560 587 454 3 2
60 60 40 −5 0 0 540 599 451 3 3
60 60 40 −5 0 0 550 593 451 4 3
60 60 40 −5 0 0 560 587 451 3 2
60 60 40 −5 0 5 540 598 448 4 3
60 60 40 −5 0 5 550 593 448 4 3
60 60 40 −5 0 5 560 587 447 3 2
60 60 40 −5 5 −5 540 597 454 3 2
60 60 40 −5 5 −5 550 593 454 3 2
60 60 40 −5 5 0 530 601 451 2 2
60 60 40 −5 5 0 540 597 451 3 3
60 60 40 −5 5 0 550 593 450 3 3
60 60 40 −5 5 0 560 588 451 2 1
60 60 40 −5 5 5 530 601 448 2 2
60 60 40 −5 5 5 540 598 448 4 3
60 60 40 −5 5 5 550 592 448 4 3
60 60 40 −5 5 5 560 588 448 2 2
60 60 40 0 −5 −5 540 596 454 3 2
60 60 40 0 −5 −5 550 591 454 4 3
60 60 40 0 −5 −5 560 583 454 4 2
60 60 40 0 −5 −5 570 578 454 2 2
60 60 40 0 −5 0 540 596 451 3 2
60 60 40 0 −5 0 550 591 451 4 3
60 60 40 0 −5 0 560 583 451 4 3
60 60 40 0 −5 0 570 579 451 2 2
60 60 40 0 −5 5 540 596 448 3 2
60 60 40 0 −5 5 550 591 448 4 3
60 60 40 0 −5 5 560 583 448 4 3
60 60 40 0 −5 5 570 580 448 2 2
60 60 40 0 0 −5 540 596 454 3 2
60 60 40 0 0 −5 550 590 454 4 3
60 60 40 0 0 −5 560 581 454 3 2
60 60 40 0 0 −5 570 575 454 2 2
60 60 40 0 0 0 540 595 451 3 2
60 60 40 0 0 0 550 590 451 4 3
60 60 40 0 0 0 560 582 451 4 2
60 60 40 0 0 0 570 576 451 2 2
60 60 40 0 0 5 540 595 448 3 3
60 60 40 0 0 5 550 590 448 4 3
60 60 40 0 0 5 560 581 447 4 2
60 60 40 0 0 5 570 577 448 2 2
60 60 40 0 5 −5 540 595 454 3 2
60 60 40 0 5 −5 550 589 454 3 2
60 60 40 0 5 −5 560 583 454 2 2
60 60 40 0 5 0 530 598 451 2 1
60 60 40 0 5 0 540 595 451 3 3
60 60 40 0 5 0 550 590 451 4 3
60 60 40 0 5 0 560 583 451 3 2
60 60 40 0 5 5 530 598 448 2 2
60 60 40 0 5 5 540 594 448 4 3
60 60 40 0 5 5 550 589 448 4 3
60 60 40 0 5 5 560 583 448 3 2
60 60 40 5 −5 −5 540 594 454 3 2
60 60 40 5 −5 −5 550 588 454 3 2
60 60 40 5 −5 −5 560 581 454 3 2
60 60 40 5 −5 0 540 593 451 3 2
60 60 40 5 −5 0 550 589 451 4 3
60 60 40 5 −5 0 560 582 451 4 2
60 60 40 5 −5 5 540 594 447 3 2
60 60 40 5 −5 5 550 588 448 4 3
60 60 40 5 −5 5 560 581 448 4 2
60 60 40 5 −5 5 570 580 447 2 1
60 60 40 5 0 −5 540 593 454 3 2
60 60 40 5 0 −5 550 588 454 3 2
60 60 40 5 0 −5 560 580 454 3 2
60 60 40 5 0 0 540 593 451 3 2
60 60 40 5 0 0 550 587 451 4 3
60 60 40 5 0 0 560 580 451 3 2
60 60 40 5 0 0 570 576 451 1 1
60 60 40 5 0 5 540 593 448 3 3
60 60 40 5 0 5 550 588 448 4 3
60 60 40 5 0 5 560 579 447 4 2
60 60 40 5 0 5 570 577 447 2 1
60 60 40 5 5 −5 540 592 454 3 2
60 60 40 5 5 −5 550 587 454 3 2
60 60 40 5 5 −5 560 578 454 3 2
60 60 40 5 5 0 530 595 452 1 1
60 60 40 5 5 0 540 592 451 3 2
60 60 40 5 5 0 550 586 451 4 2
60 60 40 5 5 0 560 577 451 3 2
60 60 40 5 5 0 570 573 451 1 1
60 60 40 5 5 5 530 596 448 2 2
60 60 40 5 5 5 540 592 448 3 3
60 60 40 5 5 5 550 587 448 4 3
60 60 40 5 5 5 560 577 448 3 2
60 60 40 5 5 5 570 573 448 1 1
60 60 50 −5 −5 −5 550 594 454 3 2
60 60 50 −5 −5 0 540 599 452 2 1
60 60 50 −5 −5 0 550 594 452 3 2
60 60 50 −5 −5 0 560 587 452 1 1
60 60 50 −5 −5 5 540 599 450 2 2
60 60 50 −5 −5 5 550 594 449 3 2
60 60 50 −5 −5 5 560 587 449 2 1
60 60 50 −5 0 −5 540 598 455 2 1
60 60 50 −5 0 −5 550 593 454 2 2
60 60 50 −5 0 0 540 598 452 2 2
60 60 50 −5 0 0 550 593 452 3 2
60 60 50 −5 0 5 540 598 450 3 2
60 60 50 −5 0 5 550 593 448 3 2
60 60 50 −5 5 −5 540 598 454 2 2
60 60 50 −5 5 −5 550 592 454 2 1
60 60 50 −5 5 0 540 597 451 2 2
60 60 50 −5 5 0 550 592 451 2 2
60 60 50 −5 5 5 540 598 449 3 2
60 60 50 −5 5 5 550 593 449 2 2
60 60 50 0 −5 −5 550 591 454 2 2
60 60 50 0 −5 0 540 596 452 1 1
60 60 50 0 −5 0 550 591 452 3 2
60 60 50 0 −5 0 560 583 451 2 1
60 60 50 0 −5 5 540 596 450 2 2
60 60 50 0 −5 5 550 591 449 3 2
60 60 50 0 −5 5 560 583 448 2 2
60 60 50 0 0 −5 540 595 454 1 1
60 60 50 0 0 −5 550 591 454 2 2
60 60 50 0 0 0 540 596 452 2 2
60 60 50 0 0 0 550 590 451 3 2
60 60 50 0 0 5 540 595 449 2 2
60 60 50 0 0 5 550 591 448 3 2
60 60 50 0 0 5 560 582 448 1 0
60 60 50 0 5 −5 540 595 454 2 1
60 60 50 0 5 −5 550 590 454 1 1
60 60 50 0 5 0 540 595 452 2 2
60 60 50 0 5 0 550 590 452 2 2
60 60 50 0 5 5 540 595 449 2 2
60 60 50 0 5 5 550 589 449 2 2
60 60 50 5 −5 −5 550 589 454 2 2
60 60 50 5 −5 0 550 589 451 2 2
60 60 50 5 −5 5 540 594 450 1 1
60 60 50 5 −5 5 550 589 449 3 2
60 60 50 5 −5 5 560 582 449 1 1
60 60 50 5 0 −5 550 588 454 2 1
60 60 50 5 0 0 540 593 452 1 1
60 60 50 5 0 0 550 588 452 2 2
60 60 50 5 0 5 540 593 450 2 2
60 60 50 5 0 5 550 588 449 3 2
60 60 50 5 5 0 540 592 451 2 1
60 60 50 5 5 0 550 586 452 1 0
60 60 50 5 5 5 540 592 449 2 2
60 60 50 5 5 5 550 587 449 2 1
60 70 30 −5 −5 −5 550 597 454 1 1
60 70 30 −5 −5 −5 560 594 454 2 2
60 70 30 −5 −5 −5 570 593 454 2 2
60 70 30 −5 −5 −5 580 595 454 2 2
60 70 30 −5 −5 0 550 598 450 2 2
60 70 30 −5 −5 0 560 594 450 3 2
60 70 30 −5 −5 0 570 593 450 2 2
60 70 30 −5 −5 0 580 595 450 2 2
60 70 30 −5 −5 0 590 600 450 1 1
60 70 30 −5 −5 5 550 597 446 2 2
60 70 30 −5 −5 5 560 595 446 3 2
60 70 30 −5 −5 5 570 593 446 2 2
60 70 30 −5 −5 5 580 595 446 2 2
60 70 30 −5 −5 5 590 600 446 1 1
60 70 30 −5 0 −5 550 597 454 2 2
60 70 30 −5 0 −5 560 595 454 2 2
60 70 30 −5 0 −5 570 594 454 2 2
60 70 30 −5 0 0 550 597 450 3 2
60 70 30 −5 0 0 560 594 450 3 2
60 70 30 −5 0 0 570 594 450 2 2
60 70 30 −5 0 0 580 596 450 1 1
60 70 30 −5 0 5 550 597 446 3 2
60 70 30 −5 0 5 560 595 446 3 2
60 70 30 −5 0 5 570 594 446 2 2
60 70 30 −5 0 5 580 597 446 1 1
60 70 30 −5 5 −5 550 597 454 2 2
60 70 30 −5 5 −5 560 595 454 2 2
60 70 30 −5 5 0 540 600 450 1 1
60 70 30 −5 5 0 550 597 450 3 2
60 70 30 −5 5 0 560 596 450 2 2
60 70 30 −5 5 0 570 596 450 2 1
60 70 30 −5 5 5 540 600 446 1 1
60 70 30 −5 5 5 550 597 446 3 2
60 70 30 −5 5 5 560 596 446 3 2
60 70 30 −5 5 5 570 596 446 2 2
60 70 30 0 −5 −5 560 592 454 2 1
60 70 30 0 −5 −5 570 591 454 2 2
60 70 30 0 −5 −5 580 592 454 2 2
60 70 30 0 −5 −5 590 597 454 1 1
60 70 30 0 −5 0 550 595 450 2 1
60 70 30 0 −5 0 560 593 450 2 2
60 70 30 0 −5 0 570 591 450 2 2
60 70 30 0 −5 0 580 592 450 2 2
60 70 30 0 −5 0 590 597 450 1 2
60 70 30 0 −5 5 550 595 446 2 2
60 70 30 0 −5 5 560 592 446 3 2
60 70 30 0 −5 5 570 591 446 2 2
60 70 30 0 −5 5 580 592 446 2 2
60 70 30 0 −5 5 590 597 446 1 2
60 70 30 0 0 −5 550 595 454 2 1
60 70 30 0 0 −5 560 592 454 2 2
60 70 30 0 0 −5 570 591 454 2 2
60 70 30 0 0 −5 580 593 454 1 2
60 70 30 0 0 0 550 595 450 2 2
60 70 30 0 0 0 560 592 450 3 2
60 70 30 0 0 0 570 591 450 2 2
60 70 30 0 0 0 580 594 450 2 2
60 70 30 0 0 5 550 595 446 3 2
60 70 30 0 0 5 560 592 446 3 2
60 70 30 0 0 5 570 591 446 2 2
60 70 30 0 0 5 580 593 446 2 2
60 70 30 0 5 −5 550 594 454 2 2
60 70 30 0 5 −5 560 592 454 2 2
60 70 30 0 5 −5 570 592 454 2 2
60 70 30 0 5 0 550 594 450 3 2
60 70 30 0 5 0 560 592 450 3 2
60 70 30 0 5 0 570 592 450 2 2
60 70 30 0 5 5 540 597 446 1 1
60 70 30 0 5 5 550 595 446 3 2
60 70 30 0 5 5 560 592 446 3 2
60 70 30 0 5 5 570 592 446 2 2
60 70 30 5 −5 −5 560 590 454 1 1
60 70 30 5 −5 0 550 593 450 2 1
60 70 30 5 −5 0 560 590 450 2 2
60 70 30 5 −5 0 570 588 450 2 1
60 70 30 5 −5 0 580 590 450 1 1
60 70 30 5 −5 0 590 594 450 1 1
60 70 30 5 −5 5 550 593 446 2 1
60 70 30 5 −5 5 560 590 446 2 2
60 70 30 5 −5 5 570 589 446 2 2
60 70 30 5 −5 5 580 590 446 1 1
60 70 30 5 −5 5 590 594 446 1 1
60 70 30 5 0 −5 560 589 454 2 1
60 70 30 5 0 −5 570 588 454 2 1
60 70 30 5 0 −5 580 591 454 1 1
60 70 30 5 0 0 550 592 450 2 2
60 70 30 5 0 0 560 590 450 2 2
60 70 30 5 0 0 570 589 450 2 2
60 70 30 5 0 0 580 590 450 2 2
60 70 30 5 0 5 550 593 446 2 2
60 70 30 5 0 5 560 590 446 2 2
60 70 30 5 0 5 570 589 446 2 2
60 70 30 5 0 5 580 590 446 2 2
60 70 30 5 5 −5 550 592 454 2 1
60 70 30 5 5 −5 560 589 454 2 2
60 70 30 5 5 −5 570 589 454 2 1
60 70 30 5 5 0 550 593 450 2 2
60 70 30 5 5 0 560 590 450 2 2
60 70 30 5 5 0 570 589 450 2 2
60 70 30 5 5 5 550 592 446 3 2
60 70 30 5 5 5 560 590 446 2 2
60 70 30 5 5 5 570 589 446 2 2
60 70 30 5 5 5 580 592 446 1 1
60 70 40 −5 −5 −5 540 600 455 2 2
60 70 40 −5 −5 −5 550 598 455 3 2
60 70 40 −5 −5 −5 560 595 454 3 2
60 70 40 −5 −5 −5 570 594 454 3 2
60 70 40 −5 −5 −5 580 595 454 2 2
60 70 40 −5 −5 −5 590 600 454 1 2
60 70 40 −5 −5 0 540 600 452 3 2
60 70 40 −5 −5 0 550 597 451 3 2
60 70 40 −5 −5 0 560 595 451 3 3
60 70 40 −5 −5 0 570 593 451 3 3
60 70 40 −5 −5 0 580 595 451 2 3
60 70 40 −5 −5 0 590 600 451 2 2
60 70 40 −5 −5 5 540 599 448 3 2
60 70 40 −5 −5 5 550 598 448 3 3
60 70 40 −5 −5 5 560 595 448 3 3
60 70 40 −5 −5 5 570 594 448 3 3
60 70 40 −5 −5 5 580 595 448 2 3
60 70 40 −5 −5 5 590 600 447 2 2
60 70 40 −5 0 −5 540 599 455 2 2
60 70 40 −5 0 −5 550 597 455 3 2
60 70 40 −5 0 −5 560 595 454 3 3
60 70 40 −5 0 −5 570 594 454 3 2
60 70 40 −5 0 −5 580 596 454 2 2
60 70 40 −5 0 0 540 599 452 3 2
60 70 40 −5 0 0 550 597 451 3 3
60 70 40 −5 0 0 560 595 451 3 3
60 70 40 −5 0 0 570 594 451 3 3
60 70 40 −5 0 0 580 597 451 2 2
60 70 40 −5 0 5 540 600 448 3 2
60 70 40 −5 0 5 550 598 448 3 3
60 70 40 −5 0 5 560 595 448 3 3
60 70 40 −5 0 5 570 595 448 3 3
60 70 40 −5 0 5 580 597 447 2 2
60 70 40 −5 5 −5 540 600 454 3 2
60 70 40 −5 5 −5 550 597 454 3 3
60 70 40 −5 5 −5 560 596 454 3 2
60 70 40 −5 5 −5 570 596 454 2 2
60 70 40 −5 5 0 540 600 451 3 2
60 70 40 −5 5 0 550 597 451 3 3
60 70 40 −5 5 0 560 596 451 3 3
60 70 40 −5 5 0 570 596 451 2 2
60 70 40 −5 5 5 540 600 448 3 2
60 70 40 −5 5 5 550 598 448 3 3
60 70 40 −5 5 5 560 596 448 3 3
60 70 40 −5 5 5 570 596 447 2 2
60 70 40 0 −5 −5 540 597 455 2 1
60 70 40 0 −5 −5 550 595 455 3 2
60 70 40 0 −5 −5 560 592 455 3 2
60 70 40 0 −5 −5 570 591 454 3 2
60 70 40 0 −5 −5 580 592 454 2 2
60 70 40 0 −5 −5 590 596 454 2 2
60 70 40 0 −5 0 540 597 451 2 2
60 70 40 0 −5 0 550 595 451 3 2
60 70 40 0 −5 0 560 593 451 3 2
60 70 40 0 −5 0 570 591 451 3 3
60 70 40 0 −5 0 580 593 451 2 3
60 70 40 0 −5 0 590 597 451 2 2
60 70 40 0 −5 5 540 597 448 3 2
60 70 40 0 −5 5 550 594 448 3 2
60 70 40 0 −5 5 560 592 448 3 3
60 70 40 0 −5 5 570 591 448 3 3
60 70 40 0 −5 5 580 593 448 2 3
60 70 40 0 −5 5 590 597 448 2 3
60 70 40 0 0 −5 540 597 455 2 2
60 70 40 0 0 −5 550 595 455 3 2
60 70 40 0 0 −5 560 592 454 3 2
60 70 40 0 0 −5 570 592 454 3 2
60 70 40 0 0 −5 580 594 454 2 2
60 70 40 0 0 0 540 597 452 3 2
60 70 40 0 0 0 550 595 451 3 2
60 70 40 0 0 0 560 593 451 3 3
60 70 40 0 0 0 570 592 451 3 3
60 70 40 0 0 0 580 594 451 2 2
60 70 40 0 0 0 590 598 451 1 1
60 70 40 0 0 5 540 597 448 3 2
60 70 40 0 0 5 550 594 448 3 3
60 70 40 0 0 5 560 593 448 3 3
60 70 40 0 0 5 570 591 448 3 3
60 70 40 0 0 5 580 594 448 2 3
60 70 40 0 0 5 590 599 448 1 1
60 70 40 0 5 −5 540 597 455 3 2
60 70 40 0 5 −5 550 595 454 3 2
60 70 40 0 5 −5 560 592 454 3 3
60 70 40 0 5 −5 570 593 454 2 2
60 70 40 0 5 0 540 597 451 3 2
60 70 40 0 5 0 550 595 451 3 3
60 70 40 0 5 0 560 593 451 3 3
60 70 40 0 5 0 570 593 451 2 2
60 70 40 0 5 0 580 595 451 1 1
60 70 40 0 5 5 540 597 448 3 2
60 70 40 0 5 5 550 594 448 3 3
60 70 40 0 5 5 560 593 448 3 3
60 70 40 0 5 5 570 592 448 3 3
60 70 40 0 5 5 580 595 448 1 2
60 70 40 5 −5 −5 540 595 455 1 1
60 70 40 5 −5 −5 550 593 454 3 2
60 70 40 5 −5 −5 560 590 454 3 2
60 70 40 5 −5 −5 570 589 454 2 2
60 70 40 5 −5 −5 580 590 454 2 2
60 70 40 5 −5 −5 590 594 454 1 2
60 70 40 5 −5 0 540 595 452 2 2
60 70 40 5 −5 0 550 592 451 3 2
60 70 40 5 −5 0 560 590 451 3 2
60 70 40 5 −5 0 570 588 451 3 2
60 70 40 5 −5 0 580 590 451 2 2
60 70 40 5 −5 0 590 594 451 1 2
60 70 40 5 −5 5 540 594 449 3 2
60 70 40 5 −5 5 550 593 448 3 2
60 70 40 5 −5 5 560 590 448 3 2
60 70 40 5 −5 5 570 589 447 3 2
60 70 40 5 −5 5 580 590 447 2 2
60 70 40 5 −5 5 590 594 448 2 2
60 70 40 5 0 −5 540 595 454 2 2
60 70 40 5 0 −5 550 592 454 3 2
60 70 40 5 0 −5 560 590 454 3 2
60 70 40 5 0 −5 570 589 454 2 2
60 70 40 5 0 −5 580 591 454 2 2
60 70 40 5 0 −5 590 595 454 1 2
60 70 40 5 0 0 540 595 451 2 2
60 70 40 5 0 0 550 592 451 3 2
60 70 40 5 0 0 560 590 451 3 2
60 70 40 5 0 0 570 589 451 3 2
60 70 40 5 0 0 580 591 451 2 2
60 70 40 5 0 0 590 595 451 1 2
60 70 40 5 0 5 540 595 448 3 2
60 70 40 5 0 5 550 592 448 3 2
60 70 40 5 0 5 560 590 448 3 3
60 70 40 5 0 5 570 589 448 3 3
60 70 40 5 0 5 580 591 448 2 2
60 70 40 5 0 5 590 596 448 1 2
60 70 40 5 5 −5 540 595 455 2 2
60 70 40 5 5 −5 550 592 454 3 2
60 70 40 5 5 −5 560 590 454 3 2
60 70 40 5 5 −5 570 589 454 2 2
60 70 40 5 5 −5 580 592 454 2 2
60 70 40 5 5 0 540 595 451 3 2
60 70 40 5 5 0 550 593 451 3 2
60 70 40 5 5 0 560 590 451 3 2
60 70 40 5 5 0 570 590 451 2 2
60 70 40 5 5 0 580 592 450 2 2
60 70 40 5 5 5 540 595 448 3 2
60 70 40 5 5 5 550 592 448 3 3
60 70 40 5 5 5 560 590 448 3 3
60 70 40 5 5 5 570 590 448 3 2
60 70 40 5 5 5 580 592 448 2 2
60 70 50 −5 −5 −5 560 594 454 2 2
60 70 50 −5 −5 −5 570 592 455 2 2
60 70 50 −5 −5 −5 580 595 454 1 2
60 70 50 −5 −5 0 550 597 452 2 2
60 70 50 −5 −5 0 560 594 452 2 2
60 70 50 −5 −5 0 570 593 452 2 2
60 70 50 −5 −5 0 580 594 452 2 2
60 70 50 −5 −5 5 550 597 450 2 2
60 70 50 −5 −5 5 560 593 450 2 2
60 70 50 −5 −5 5 570 592 449 2 2
60 70 50 −5 −5 5 580 594 449 2 2
60 70 50 −5 0 −5 550 597 454 2 2
60 70 50 −5 0 −5 560 594 454 2 2
60 70 50 −5 0 −5 570 594 454 2 2
60 70 50 −5 0 0 550 596 452 2 2
60 70 50 −5 0 0 560 594 452 2 2
60 70 50 −5 0 0 570 594 451 2 2
60 70 50 −5 0 5 550 597 450 2 2
60 70 50 −5 0 5 560 595 449 2 2
60 70 50 −5 0 5 570 593 449 2 2
60 70 50 −5 5 −5 550 597 455 2 2
60 70 50 −5 5 −5 560 595 454 2 2
60 70 50 −5 5 0 550 597 452 2 2
60 70 50 −5 5 0 560 595 452 2 2
60 70 50 −5 5 5 540 599 450 1 1
60 70 50 −5 5 5 550 597 449 2 2
60 70 50 −5 5 5 560 595 449 2 2
60 70 50 0 −5 −5 560 591 455 2 1
60 70 50 0 −5 −5 570 590 454 1 1
60 70 50 0 −5 −5 580 591 454 1 2
60 70 50 0 −5 −5 590 596 454 1 1
60 70 50 0 −5 0 550 594 453 2 1
60 70 50 0 −5 0 560 591 452 2 2
60 70 50 0 −5 0 570 590 452 2 2
60 70 50 0 −5 0 580 592 451 2 2
60 70 50 0 −5 0 590 596 452 1 2
60 70 50 0 −5 5 550 594 450 2 2
60 70 50 0 −5 5 560 591 449 2 2
60 70 50 0 −5 5 570 590 449 2 2
60 70 50 0 −5 5 580 592 449 2 2
60 70 50 0 −5 5 590 596 449 1 2
60 70 50 0 0 −5 550 594 455 1 1
60 70 50 0 0 −5 560 591 454 2 2
60 70 50 0 0 −5 570 590 454 2 2
60 70 50 0 0 −5 580 593 454 1 1
60 70 50 0 0 0 550 594 452 2 2
60 70 50 0 0 0 560 592 451 2 2
60 70 50 0 0 0 570 591 452 2 2
60 70 50 0 0 0 580 593 452 1 2
60 70 50 0 0 5 550 594 449 2 2
60 70 50 0 0 5 560 591 449 2 2
60 70 50 0 0 5 570 591 448 2 2
60 70 50 0 0 5 580 593 449 1 2
60 70 50 0 5 −5 550 594 454 2 2
60 70 50 0 5 −5 560 592 454 2 2
60 70 50 0 5 −5 570 592 454 1 1
60 70 50 0 5 0 550 594 451 2 2
60 70 50 0 5 0 560 592 451 2 2
60 70 50 0 5 0 570 591 451 1 2
60 70 50 0 5 5 550 594 449 2 2
60 70 50 0 5 5 560 592 448 2 2
60 70 50 0 5 5 570 592 449 2 2
60 70 50 5 −5 5 550 592 449 1 1
60 70 50 5 −5 5 560 589 449 2 2
60 70 50 5 0 0 550 592 452 1 1
60 70 50 5 0 0 560 589 451 2 1
60 70 50 5 0 0 570 589 451 1 1
60 70 50 5 0 0 580 590 451 1 1
60 70 50 5 0 5 550 591 450 2 2
60 70 50 5 0 5 560 589 449 2 2
60 70 50 5 0 5 570 588 449 2 2
60 70 50 5 0 5 580 590 448 1 1
60 70 50 5 5 −5 560 590 454 1 1
60 70 50 5 5 0 550 592 451 1 1
60 70 50 5 5 0 560 590 452 2 2
60 70 50 5 5 0 570 588 451 2 1
60 70 50 5 5 5 550 591 449 2 2
60 70 50 5 5 5 560 589 449 2 2
60 70 50 5 5 5 570 589 448 1 1
70 50 30 −5 −5 0 540 592 450 2 2
70 50 30 −5 −5 0 550 587 450 2 1
70 50 30 −5 −5 5 540 592 446 3 2
70 50 30 −5 −5 5 550 587 446 2 1
70 50 30 −5 0 −5 540 590 454 2 1
70 50 30 −5 0 0 540 590 450 3 2
70 50 30 −5 0 5 540 590 446 3 2
70 50 30 −5 5 −5 540 589 454 1 1
70 50 30 −5 5 0 540 589 450 3 2
70 50 30 −5 5 5 540 589 446 3 2
70 50 30 0 −5 0 540 589 450 2 1
70 50 30 0 −5 0 550 581 450 3 1
70 50 30 0 −5 5 540 588 446 3 1
70 50 30 0 −5 5 550 581 446 3 2
70 50 30 0 0 −5 540 587 454 2 1
70 50 30 0 0 0 540 586 450 3 2
70 50 30 0 0 5 540 585 446 3 2
70 50 30 0 5 0 540 585 450 3 2
70 50 30 0 5 5 540 585 446 3 2
70 50 30 5 −5 −5 550 575 454 2 1
70 50 30 5 −5 0 550 575 450 3 2
70 50 30 5 −5 5 540 586 446 2 1
70 50 30 5 −5 5 550 576 446 3 2
70 50 30 5 0 0 540 581 450 3 2
70 50 30 5 0 5 540 581 446 3 2
70 50 30 5 5 0 540 580 450 3 1
70 50 30 5 5 5 540 579 446 3 2
70 50 40 −5 −5 −5 540 591 454 3 2
70 50 40 −5 −5 −5 550 586 454 3 2
70 50 40 −5 −5 0 540 591 451 4 2
70 50 40 −5 −5 0 550 586 451 4 2
70 50 40 −5 −5 5 540 591 447 4 2
70 50 40 −5 −5 5 550 587 448 4 2
70 50 40 −5 0 −5 540 590 454 4 2
70 50 40 −5 0 0 540 589 451 4 2
70 50 40 −5 0 5 540 589 448 4 3
70 50 40 −5 5 −5 540 589 454 3 2
70 50 40 −5 5 0 530 594 451 2 1
70 50 40 −5 5 0 540 589 451 4 2
70 50 40 −5 5 5 530 594 448 3 2
70 50 40 −5 5 5 540 588 447 4 2
70 50 40 0 −5 −5 540 588 454 3 2
70 50 40 0 −5 −5 550 582 454 4 2
70 50 40 0 −5 0 540 587 451 4 2
70 50 40 0 −5 0 550 582 451 4 2
70 50 40 0 −5 5 540 587 447 4 2
70 50 40 0 −5 5 550 581 447 4 2
70 50 40 0 0 −5 540 585 454 4 2
70 50 40 0 0 0 540 585 451 4 2
70 50 40 0 0 5 540 584 448 4 2
70 50 40 0 0 5 550 582 447 2 1
70 50 40 0 5 −5 540 585 454 4 2
70 50 40 0 5 0 540 584 451 4 2
70 50 40 0 5 5 530 592 447 2 1
70 50 40 0 5 5 540 584 447 4 2
70 50 40 5 −5 −5 540 585 454 3 2
70 50 40 5 −5 −5 550 576 454 4 2
70 50 40 5 −5 0 540 584 451 4 2
70 50 40 5 −5 0 550 577 451 4 2
70 50 40 5 −5 5 540 583 448 4 2
70 50 40 5 −5 5 550 578 447 4 2
70 50 40 5 0 −5 540 579 454 4 2
70 50 40 5 0 0 540 579 451 5 2
70 50 40 5 0 0 550 577 451 2 1
70 50 40 5 0 5 540 578 447 5 2
70 50 40 5 0 5 550 577 448 3 2
70 50 40 5 5 −5 540 579 454 4 2
70 50 40 5 5 0 540 579 451 4 2
70 50 40 5 5 5 540 578 447 4 2
70 50 50 −5 0 0 540 590 451 2 1
70 50 50 −5 0 5 540 590 448 2 2
70 50 50 0 0 5 540 586 449 2 1
70 60 30 −5 −5 −5 550 578 454 4 2
70 60 30 −5 −5 0 540 591 450 1 1
70 60 30 −5 −5 0 550 579 450 4 2
70 60 30 −5 −5 5 540 591 446 2 1
70 60 30 −5 −5 5 550 578 446 4 2
70 60 30 −5 0 −5 540 589 454 2 1
70 60 30 −5 0 −5 550 580 454 3 2
70 60 30 −5 0 0 540 589 450 3 2
70 60 30 −5 0 0 550 580 450 4 2
70 60 30 −5 0 5 540 589 446 3 2
70 60 30 −5 0 5 550 581 446 4 2
70 60 30 −5 5 −5 540 587 454 3 2
70 60 30 −5 5 0 540 588 450 3 2
70 60 30 −5 5 0 550 583 450 2 1
70 60 30 −5 5 5 540 587 446 3 2
70 60 30 −5 5 5 550 583 446 3 2
70 60 30 0 −5 −5 550 572 454 4 2
70 60 30 0 −5 0 550 574 450 4 2
70 60 30 0 −5 5 550 574 446 4 2
70 60 30 0 0 −5 550 574 454 3 2
70 60 30 0 0 0 540 587 450 2 1
70 60 30 0 0 0 550 575 450 4 2
70 60 30 0 0 5 540 587 446 3 2
70 60 30 0 0 5 550 576 446 4 2
70 60 30 0 5 −5 540 585 454 2 1
70 60 30 0 5 −5 550 576 454 2 1
70 60 30 0 5 0 540 584 450 3 2
70 60 30 0 5 0 550 577 450 3 2
70 60 30 0 5 5 540 584 446 3 2
70 60 30 0 5 5 550 578 446 3 2
70 60 30 5 −5 −5 550 568 454 4 1
70 60 30 5 −5 0 550 569 450 4 2
70 60 30 5 −5 5 550 570 446 4 2
70 60 30 5 0 −5 550 569 454 3 2
70 60 30 5 0 0 540 546 450 1 1
70 60 30 5 0 0 550 570 450 4 2
70 60 30 5 0 5 540 546 446 1 1
70 60 30 5 0 5 550 571 446 4 2
70 60 30 5 5 0 540 583 450 1 1
70 60 30 5 5 0 550 572 450 2 1
70 60 30 5 5 5 540 582 446 2 1
70 60 30 5 5 5 550 572 446 3 2
70 60 40 −5 −5 −5 540 590 454 3 2
70 60 40 −5 −5 −5 550 580 454 4 3
70 60 40 −5 −5 0 540 590 451 4 2
70 60 40 −5 −5 0 550 579 451 5 3
70 60 40 −5 −5 5 540 590 448 4 2
70 60 40 −5 −5 5 550 580 448 5 3
70 60 40 −5 0 −5 540 589 454 4 2
70 60 40 −5 0 −5 550 581 454 4 3
70 60 40 −5 0 0 540 588 451 4 2
70 60 40 −5 0 0 550 581 451 4 3
70 60 40 −5 0 5 540 588 448 4 3
70 60 40 −5 0 5 550 581 448 4 3
70 60 40 −5 5 −5 540 587 454 4 2
70 60 40 −5 5 −5 550 583 454 3 2
70 60 40 −5 5 0 540 587 451 4 2
70 60 40 −5 5 0 550 583 451 3 2
70 60 40 −5 5 5 530 594 448 1 1
70 60 40 −5 5 5 540 587 448 4 3
70 60 40 −5 5 5 550 584 447 3 2
70 60 40 0 −5 −5 540 589 455 3 2
70 60 40 0 −5 −5 550 576 454 5 3
70 60 40 0 −5 0 540 588 451 3 2
70 60 40 0 −5 0 550 576 451 5 3
70 60 40 0 −5 5 540 587 448 4 2
70 60 40 0 −5 5 550 576 448 5 3
70 60 40 0 0 −5 540 586 454 4 2
70 60 40 0 0 −5 550 577 454 4 2
70 60 40 0 0 0 540 585 451 4 2
70 60 40 0 0 0 550 576 451 4 3
70 60 40 0 0 5 540 584 448 4 2
70 60 40 0 0 5 550 578 448 4 3
70 60 40 0 5 −5 540 583 454 4 2
70 60 40 0 5 −5 550 579 454 3 2
70 60 40 0 5 0 540 582 451 4 2
70 60 40 0 5 0 550 579 451 4 2
70 60 40 0 5 5 540 582 448 4 2
70 60 40 0 5 5 550 579 447 4 2
70 60 40 5 −5 −5 540 586 454 2 2
70 60 40 5 −5 −5 540 542 455 1 1
70 60 40 5 −5 −5 550 571 454 4 2
70 60 40 5 −5 0 540 586 451 3 2
70 60 40 5 −5 0 540 543 451 1 2
70 60 40 5 −5 0 550 572 451 4 3
70 60 40 5 −5 5 540 585 448 3 2
70 60 40 5 −5 5 540 544 448 1 2
70 60 40 5 −5 5 550 574 448 5 3
70 60 40 5 0 −5 540 547 454 2 2
70 60 40 5 0 −5 540 584 455 3 2
70 60 40 5 0 −5 550 572 454 4 2
70 60 40 5 0 0 540 547 451 2 2
70 60 40 5 0 0 540 583 451 4 2
70 60 40 5 0 0 550 573 451 4 2
70 60 40 5 0 5 540 548 447 2 2
70 60 40 5 0 5 540 582 448 4 2
70 60 40 5 0 5 550 574 448 4 3
70 60 40 5 5 −5 540 580 454 4 2
70 60 40 5 5 −5 540 553 454 2 2
70 60 40 5 5 −5 550 574 454 3 2
70 60 40 5 5 0 540 572 451 4 2
70 60 40 5 5 0 550 575 451 4 2
70 60 40 5 5 5 540 572 448 5 2
70 60 40 5 5 5 550 575 447 4 2
70 60 50 −5 −5 −5 550 579 454 3 2
70 60 50 −5 −5 0 550 578 452 4 2
70 60 50 −5 −5 5 540 591 450 2 1
70 60 50 −5 −5 5 550 578 449 4 2
70 60 50 −5 0 −5 550 579 454 3 2
70 60 50 −5 0 0 540 589 452 2 1
70 60 50 −5 0 0 550 580 451 3 2
70 60 50 −5 0 5 540 589 449 3 2
70 60 50 −5 0 5 550 580 449 3 2
70 60 50 −5 5 −5 540 588 455 1 1
70 60 50 −5 5 0 540 588 452 2 2
70 60 50 −5 5 5 540 587 449 3 2
70 60 50 0 −5 −5 550 571 454 4 2
70 60 50 0 −5 0 550 572 452 4 2
70 60 50 0 −5 5 550 572 449 4 2
70 60 50 0 0 −5 550 572 454 3 2
70 60 50 0 0 0 550 574 451 3 2
70 60 50 0 0 5 540 586 449 2 1
70 60 50 0 0 5 550 573 449 3 2
70 60 50 0 5 5 540 584 449 2 1
70 60 50 5 −5 −5 550 564 455 3 2
70 60 50 5 −5 0 550 566 452 4 2
70 60 50 5 −5 5 550 568 449 4 2
70 60 50 5 0 −5 550 565 454 2 1
70 60 50 5 0 0 550 567 451 3 2
70 60 50 5 0 5 550 568 449 3 2
70 70 30 −5 −5 0 560 580 450 2 1
70 70 30 −5 −5 0 570 574 450 1 1
70 70 30 −5 −5 5 560 580 446 3 2
70 70 30 −5 −5 5 570 575 446 2 1
70 70 30 −5 0 −5 560 580 454 3 2
70 70 30 −5 0 0 550 587 450 2 1
70 70 30 −5 0 0 560 580 450 3 2
70 70 30 −5 0 0 570 581 450 1 1
70 70 30 −5 0 5 550 587 446 2 2
70 70 30 −5 0 5 560 581 446 3 2
70 70 30 −5 0 5 570 581 446 2 2
70 70 30 −5 5 −5 550 586 454 2 1
70 70 30 −5 5 −5 560 583 454 2 2
70 70 30 −5 5 0 550 587 450 3 2
70 70 30 −5 5 0 560 584 450 2 2
70 70 30 −5 5 5 550 586 446 3 2
70 70 30 −5 5 5 560 584 446 3 2
70 70 30 0 0 0 560 578 450 1 1
70 70 30 0 0 0 570 572 450 1 1
70 70 30 0 0 5 560 578 446 2 1
70 70 30 0 0 5 570 573 446 1 1
70 70 30 0 5 −5 560 577 454 2 2
70 70 30 0 5 0 550 584 450 2 1
70 70 30 0 5 0 560 578 450 3 2
70 70 30 0 5 5 550 584 446 2 1
70 70 30 0 5 5 560 578 446 3 2
70 70 40 −5 −5 −5 550 587 455 3 2
70 70 40 −5 −5 −5 560 579 454 3 2
70 70 40 −5 −5 −5 570 577 454 2 2
70 70 40 −5 −5 0 540 593 452 1 1
70 70 40 −5 −5 0 550 587 452 3 2
70 70 40 −5 −5 0 560 579 451 4 2
70 70 40 −5 −5 0 570 578 451 2 2
70 70 40 −5 −5 5 540 593 448 2 1
70 70 40 −5 −5 5 550 586 448 3 2
70 70 40 −5 −5 5 560 579 448 4 2
70 70 40 −5 −5 5 570 577 448 2 2
70 70 40 −5 0 −5 550 586 454 3 2
70 70 40 −5 0 −5 560 581 454 3 2
70 70 40 −5 0 −5 570 582 454 2 2
70 70 40 −5 0 0 540 592 452 2 2
70 70 40 −5 0 0 550 587 451 3 2
70 70 40 −5 0 0 560 582 451 3 2
70 70 40 −5 0 0 570 582 451 2 2
70 70 40 −5 0 5 540 592 448 3 2
70 70 40 −5 0 5 550 587 448 4 2
70 70 40 −5 0 5 560 582 448 4 3
70 70 40 −5 0 5 570 582 447 2 2
70 70 40 −5 5 −5 540 592 455 2 1
70 70 40 −5 5 −5 550 587 454 3 2
70 70 40 −5 5 −5 560 584 454 3 2
70 70 40 −5 5 0 540 592 451 3 2
70 70 40 −5 5 0 550 587 451 3 2
70 70 40 −5 5 0 560 584 451 3 3
70 70 40 −5 5 5 540 592 448 3 2
70 70 40 −5 5 5 550 587 448 4 3
70 70 40 −5 5 5 560 585 448 3 3
70 70 40 0 −5 −5 550 586 455 2 1
70 70 40 0 −5 −5 560 580 455 2 1
70 70 40 0 −5 0 550 586 451 3 2
70 70 40 0 −5 0 560 580 451 3 2
70 70 40 0 −5 5 550 586 448 3 2
70 70 40 0 −5 5 560 581 448 3 2
70 70 40 0 0 −5 550 585 455 3 2
70 70 40 0 0 −5 560 578 454 3 2
70 70 40 0 0 −5 570 575 454 2 2
70 70 40 0 0 0 550 585 451 3 2
70 70 40 0 0 0 560 576 451 3 2
70 70 40 0 0 0 570 575 451 2 2
70 70 40 0 0 5 540 590 449 2 1
70 70 40 0 0 5 550 585 448 3 2
70 70 40 0 0 5 560 577 448 4 2
70 70 40 0 0 5 570 577 448 2 2
70 70 40 0 5 −5 550 585 454 3 2
70 70 40 0 5 −5 560 579 454 3 2
70 70 40 0 5 −5 570 580 455 1 1
70 70 40 0 5 0 540 590 451 1 1
70 70 40 0 5 0 550 584 451 3 2
70 70 40 0 5 0 560 580 451 3 2
70 70 40 0 5 0 570 581 451 1 2
70 70 40 0 5 5 540 590 448 2 2
70 70 40 0 5 5 550 584 448 3 2
70 70 40 0 5 5 560 580 448 3 2
70 70 40 0 5 5 570 580 447 2 2
70 70 40 5 −5 0 550 585 452 1 1
70 70 40 5 −5 5 550 585 448 2 2
70 70 40 5 0 0 550 584 451 2 1
70 70 40 5 0 0 560 580 452 0 0
70 70 40 5 0 5 550 584 448 3 2
70 70 40 5 0 5 560 579 448 2 2
70 70 40 5 5 −5 550 583 455 2 1
70 70 40 5 5 −5 560 575 454 3 2
70 70 40 5 5 −5 570 573 454 1 1
70 70 40 5 5 0 550 583 451 3 2
70 70 40 5 5 0 560 575 451 3 2
70 70 40 5 5 0 570 574 451 1 2
70 70 40 5 5 5 550 583 447 3 2
70 70 40 5 5 5 560 575 448 3 2
70 70 40 5 5 5 570 574 447 1 2
70 70 50 −5 −5 5 560 578 450 2 2
70 70 50 −5 −5 5 570 573 449 1 1
70 70 50 −5 0 −5 560 580 454 2 2
70 70 50 −5 0 0 560 579 452 2 2
70 70 50 −5 0 5 550 586 450 2 2
70 70 50 −5 0 5 560 580 449 3 2
70 70 50 −5 5 −5 550 586 454 1 1
70 70 50 −5 5 −5 560 583 454 2 2
70 70 50 −5 5 0 550 586 452 2 2
70 70 50 −5 5 0 560 583 451 2 2
70 70 50 −5 5 5 550 586 449 2 2
70 70 50 −5 5 5 560 583 449 2 2
70 70 50 0 5 −5 560 576 454 1 1
70 70 50 0 5 0 560 577 452 2 2
70 70 50 0 5 5 560 577 449 2 2

TABLE II
Peak wavelength tolerances based on single-peak symmetric or asymmetric channel
sensitivities for three channel cameras with μ-factor of .95 or larger
Green Center Peaks in
Sensitivity Sensitivity Sensitivity Red/Blue Elipse Axes in
Widths Skews Peak Peak Plane Red/Blue Peak Plane
wR wG wB ΔwR ΔwG ΔwB PλG PλR PλB HalfAxisR HalfAxisB
50 50 30 −5 −5 −5 530 604 454 3 2
50 50 30 −5 −5 −5 540 604 454 4 3
50 50 30 −5 −5 −5 550 601 454 4 3
50 50 30 −5 −5 −5 560 595 454 3 2
50 50 30 −5 −5 0 530 604 450 3 2
50 50 30 −5 −5 0 540 603 450 4 3
50 50 30 −5 −5 0 550 600 450 4 3
50 50 30 −5 −5 0 560 595 450 3 2
50 50 30 −5 −5 5 530 604 446 3 2
50 50 30 −5 −5 5 540 603 446 4 3
50 50 30 −5 −5 5 550 600 446 4 3
50 50 30 −5 −5 5 560 595 446 3 2
50 50 30 −5 0 −5 530 604 454 3 3
50 50 30 −5 0 −5 540 603 454 4 3
50 50 30 −5 0 −5 550 600 454 4 3
50 50 30 −5 0 0 530 605 450 3 3
50 50 30 −5 0 0 540 603 450 4 3
50 50 30 −5 0 0 550 600 450 4 3
50 50 30 −5 0 5 530 604 446 3 3
50 50 30 −5 0 5 540 602 446 4 3
50 50 30 −5 0 5 550 600 446 4 3
50 50 30 −5 0 5 560 595 446 1 1
50 50 30 −5 5 −5 530 604 454 4 3
50 50 30 −5 5 −5 540 602 454 4 3
50 50 30 −5 5 −5 550 600 454 3 2
50 50 30 −5 5 0 530 604 450 4 3
50 50 30 −5 5 0 540 603 450 4 3
50 50 30 −5 5 0 550 599 450 3 2
50 50 30 −5 5 5 530 604 446 4 3
50 50 30 −5 5 5 540 602 446 4 3
50 50 30 −5 5 5 550 599 446 3 2
50 50 30 0 −5 −5 530 601 454 3 2
50 50 30 0 −5 −5 540 600 454 4 3
50 50 30 0 −5 −5 550 597 454 4 3
50 50 30 0 −5 −5 560 590 454 3 2
50 50 30 0 −5 −5 570 575 454 2 2
50 50 30 0 −5 0 530 601 450 3 2
50 50 30 0 −5 0 540 600 450 4 3
50 50 30 0 −5 0 550 597 450 4 3
50 50 30 0 −5 0 560 590 450 4 2
50 50 30 0 −5 0 570 575 450 2 2
50 50 30 0 −5 5 530 601 446 3 2
50 50 30 0 −5 5 540 600 446 4 3
50 50 30 0 −5 5 550 597 446 4 3
50 50 30 0 −5 5 560 590 446 4 2
50 50 30 0 −5 5 570 576 446 2 2
50 50 30 0 0 −5 530 601 454 3 3
50 50 30 0 0 −5 540 599 454 4 3
50 50 30 0 0 −5 550 596 454 4 3
50 50 30 0 0 −5 560 589 454 1 1
50 50 30 0 0 0 530 601 450 3 3
50 50 30 0 0 0 540 600 450 4 3
50 50 30 0 0 0 550 596 450 4 3
50 50 30 0 0 0 560 590 450 2 2
50 50 30 0 0 5 530 601 446 3 3
50 50 30 0 0 5 540 600 446 4 3
50 50 30 0 0 5 550 596 446 4 3
50 50 30 0 0 5 560 589 446 3 2
50 50 30 0 5 −5 530 601 454 4 3
50 50 30 0 5 −5 540 599 454 4 3
50 50 30 0 5 −5 550 595 454 3 2
50 50 30 0 5 0 530 601 450 4 3
50 50 30 0 5 0 540 599 450 4 3
50 50 30 0 5 0 550 596 450 4 2
50 50 30 0 5 5 530 601 446 4 3
50 50 30 0 5 5 540 599 446 4 3
50 50 30 0 5 5 550 595 446 4 2
50 50 30 5 −5 −5 530 598 454 3 2
50 50 30 5 −5 −5 540 596 454 4 3
50 50 30 5 −5 −5 550 594 454 4 3
50 50 30 5 −5 −5 560 585 454 4 2
50 50 30 5 −5 −5 570 576 454 2 2
50 50 30 5 −5 0 530 597 450 3 2
50 50 30 5 −5 0 540 597 450 4 3
50 50 30 5 −5 0 550 593 450 4 3
50 50 30 5 −5 0 560 585 450 4 2
50 50 30 5 −5 0 570 576 450 2 2
50 50 30 5 −5 5 530 598 446 3 2
50 50 30 5 −5 5 540 597 446 4 3
50 50 30 5 −5 5 550 593 446 4 3
50 50 30 5 −5 5 560 584 446 4 2
50 50 30 5 −5 5 570 577 446 2 2
50 50 30 5 0 −5 530 598 454 3 3
50 50 30 5 0 −5 540 597 454 4 3
50 50 30 5 0 −5 550 593 454 4 3
50 50 30 5 0 −5 560 583 454 3 2
50 50 30 5 0 −5 570 572 454 1 1
50 50 30 5 0 0 530 597 450 3 3
50 50 30 5 0 0 540 596 450 4 3
50 50 30 5 0 0 550 592 450 4 3
50 50 30 5 0 0 560 583 450 3 2
50 50 30 5 0 0 570 573 450 1 2
50 50 30 5 0 5 530 597 446 3 3
50 50 30 5 0 5 540 596 446 4 3
50 50 30 5 0 5 550 592 446 4 3
50 50 30 5 0 5 560 583 446 3 2
50 50 30 5 0 5 570 574 446 1 1
50 50 30 5 5 −5 530 598 454 3 3
50 50 30 5 5 −5 540 595 454 4 3
50 50 30 5 5 −5 550 592 454 3 2
50 50 30 5 5 0 530 597 450 4 3
50 50 30 5 5 0 540 596 450 4 3
50 50 30 5 5 0 550 592 450 4 2
50 50 30 5 5 5 530 597 446